FED × 3 = 1629, BCD × 4 = 492, BEF × 1 = ?
Understand the Problem
Le problème nous demande de trouver la valeur de BEF sachant que FED × 3 = 1629 et BCD × 4 = 492. Nous utiliserons ces équations pour déduire les valeurs de chaque lettre, puis calculer BEF × 1.
Answer
The value of BEF is $145$.
Answer for screen readers
The value of BEF is $145$.
Steps to Solve
-
Calculate FED First, we can solve for FED using the equation given: $$ FED \times 3 = 1629 $$ To find FED, divide both sides by 3: $$ FED = \frac{1629}{3} = 543 $$
-
Calculate BCD Next, solve for BCD using the second equation: $$ BCD \times 4 = 492 $$ Again, divide both sides by 4: $$ BCD = \frac{492}{4} = 123 $$
-
Compute BEF Now, from the problem, we want to find BEF. Recall that BCD = 123 consists of the digits B, C, and D. Since BCD is a 3-digit number composed of each letter, take:
- B = 1
- C = 2
- D = 3
Now take the digits from FED = 543:
- F = 5
- E = 4
Thus, BEF forms the number 145.
- Final Calculation for BEF BEF can be computed to show: $$ BEF = 145 $$
The value of BEF is $145$.
More Information
The calculations show how to break down each part of the problem, establishing the relationships between the letters and the numbers. It's interesting to note how the digits correspond directly to their positions in each computed number.
Tips
- A common mistake is incorrectly dividing or multiplying the numbers. Ensure that division and multiplication are carefully performed.
- Misinterpreting the composition of BEF based on the values of B, E, and F can also lead to errors.
AI-generated content may contain errors. Please verify critical information
