If Bab's age is x, then after 12 years how old will Bab be? Which is the equivalent expression to x - (y - z)? If x = 2, y = 0.1, which of the following is greatest?
Understand the Problem
The question consists of two separate math problems. The first part is asking for the age of a person given their current age and an amount of years added. The second part is asking for the equivalent expression of a given algebraic expression and the final part is asking a comparative question based on the provided values of variables x and y.
Answer
Babu will be $x + 12$. The equivalent expression is $x - y + z$.
Answer for screen readers
Babu will be $x + 12$, the equivalent expression is $x - y + z$, and we evaluate further in part 15.
Steps to Solve
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Determine Babu's age in 12 years To find Babu's age after 12 years if his current age is $x$, we add 12 to $x$: $$ \text{Age after 12 years} = x + 12 $$
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Identify the equivalent expression of ( x - (y - z) ) First, simplify the expression: $$ x - (y - z) = x - y + z $$ This identifies the correct option.
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Evaluate which is greater given ( x = 2 ) and ( y = 0.1 ) We need to find values for various expressions involving $x$ and $y$. Here, we can evaluate:
- $x = 2$
- $y = 0.1$
Now we can compare these values.
Babu will be $x + 12$, the equivalent expression is $x - y + z$, and we evaluate further in part 15.
More Information
- In the first part of the question, Babu's future age is found by a simple addition of 12 years to his current age.
- The expression simplification is a common algebraic operation that helps in creating equivalent forms of expressions.
Tips
- Misplacing the negative sign while simplifying the expression ( x - (y - z) ).
- Confusing how to manipulate variables when calculating the expressions from values (especially while comparing).
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