Age Problems - Solutions

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Questions and Answers

What was the average age of the group when the youngest friend was born?

  • 35 years
  • 45 years
  • 40 years (correct)
  • 30 years

What will be Amit's age after six years?

  • 26 years (correct)
  • 28 years
  • 22 years
  • 24 years

What will be the present age of Umesh if he is currently 4 times the age of Reena in 6 years?

  • 49 years
  • 42 years (correct)
  • 36 years
  • 56 years

How old is Mahesh if his age is described as 6 times the age of Reena?

<p>42 years (A)</p> Signup and view all the answers

What was the husband's age at the time of marriage?

<p>21.5 years (C)</p> Signup and view all the answers

What is Neha's present age?

<p>24 years (B)</p> Signup and view all the answers

What was the ratio of ages between Nina and Aman 13 years ago?

<p>12:23 (B)</p> Signup and view all the answers

What is the teacher's age if the total age of 10 students and their teacher equals 165 years?

<p>27 years (B)</p> Signup and view all the answers

At what age was the combined age of the husband and wife at the time of their wedding compared to their anniversary?

<p>40 years (C)</p> Signup and view all the answers

How old is the child today if the average age of a family of 5 members remains 19 years?

<p>3 years (D)</p> Signup and view all the answers

If Neha's mother is currently 60 years old, how old was she 12 years ago?

<p>48 years (C)</p> Signup and view all the answers

What is the age of Dhiraj at present?

<p>16 years (B)</p> Signup and view all the answers

After K years, if the ratio of ages of B to A is 15:17, what is the present age of B?

<p>36 years (B)</p> Signup and view all the answers

Given that the average age of the first seven students is 15 years, what is the total age of these students?

<p>105 years (D)</p> Signup and view all the answers

What will be the ratio of Neha's age to her mother's age 12 years from now?

<p>1:2 (B)</p> Signup and view all the answers

What age of Reena does Umesh's age relation imply he is currently 7 times her age?

<p>6 years (C)</p> Signup and view all the answers

Flashcards

Average age of a group 6 years ago

Calculated by dividing the total age of the group 6 years ago by the number of members in the group 6 years ago.

Calculating present age

Determining the current age using given information about past ages, ratios or future ages.

Combined age after X years

Total age of two people at a future point.

Age ratio

Relationship between the ages of two or more people.

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Age at marriage

Age of a person at the time of getting married.

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Ages before and after certain years

A concept where the ages are determined before or after a given number of years.

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Umesh's age in 6 years

Umesh's age in 6 years will be 4 times Reena's age in 6 years.

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Reena's age

Reena's age is crucial to determine Umesh's age.

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Mahesh's age

Mahesh's age is 7 times Reena's age.

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Average age of 10 students and teacher

The average age of 10 students and their teacher is 15 years.

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Average age of first 7 students

The average age of the first 7 students is 15 years.

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Average age of last 3 students

The average age of the last 3 students is 11 years.

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Teacher's age

Calculate the teacher's age using the total age of the group and the total age of the students.

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Aman and Nina's ages

Aman is 59 years old, and Nina is 37 years old.

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Ratio of ages 13 years ago

Calculate the ratio of Nina's and Aman's ages 13 years ago.

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Average age of family 4 years back

The average age of a family of 4 members was 19 years, 4 years ago.

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Family average age today

The average age of the family is still 19 years today having a child.

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Age of the child

Calculate the present age of the child.

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Ratio of ages after K years

After K years, the ratio of B's age to A's age is 15:17.

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Study Notes

Age Problems - Solutions

  • Umesh and Reena (Problem 1):

    • In 6 years, Umesh's age will be 4 times Reena's age.
    • Umesh's age is 7 times Reena's age currently.
    • Mahesh's age is 6 times Reena's.
    • Reena's current age is 6 years.
    • Umesh's current age is 42 years.
  • Average Age (Problem 2):

    • Average age of 10 students and their teacher is 15 years.
    • Average age of first 7 students is 15 years.
    • Average age of last 3 students is 11 years.
    • Teacher's age is 27 years.
  • Aman and Nina (Problem 3):

    • Aman's current age is 59 years.
    • Nina's current age is 37 years.
    • Ratio of Nina's and Aman's ages 13 years ago is 12:23.
  • Family Average Age (Problem 4):

    • Average age of 4 family members 4 years ago was 19 years.
    • Average age remains the same after a child is born.
    • Child's current age is 3 years.
  • A and B (Problem 5):

    • A's current age is 42 years.
    • B's current age is 36 years.
    • After K years, ratio of B's age to A's age will be 15:17.
    • Value of K is not given.
  • Four Friends (Problem 6):

    • Average age of 4 friends is 36 years.
    • Youngest friend is 6 years old.
    • Average age of the group 6 years ago was 40 years.
  • Amit and Dhiraj (Problem 7):

    • Amit's current age is a multiple of 5.
    • Amit's age in 6 years is 26.
    • Dhiraj's current age is 16 years.
  • Husband and Wife (Problem 8):

    • Husband is 3 years older than his wife.
    • Combined age on 20th wedding anniversary was twice as it was at the time of marriage.
    • Husband's age at the time of marriage was 21.5 years (approximately).
  • Neha and Mother (Problem 9):

    • Neha's mother's age was 4 times her age 12 years ago.
    • Her mother's age will be twice her age 12 years from now.
    • Neha's current age is 24 years.
    • Mother's current age is 60 years.

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