# Arithmetic Aptitude :: Problems on Ages

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## 1. 7 years ago, the ages (in years) of A and B were in the ratio 4:5 and 7 years hence they will be in the ratio 5:6. The present age of B is:

**Answer:**

**Option D**

**Explanation :**

7 years ago, A's age=4x years

and B's age=5xyears

so (4x+14)/(5x+l4)=5/6

=> 25x + 70 = 24x + 84

x = (84 - 70) = 14

B's present age = 5x + 7 = 5*14 + 7 = 77 years

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