Advertisement

### Question

Two numbers are in the ratio 19 : 16. If both are decreased by 85, the new ratio becomes 29 : 11. What is the first number?

**A**

114.

**B**

118.

**C**

110.

**D**

122.

**Soln.**

**Ans: a**

Let the numbers be 19x and 16x. We are given ${19x - 85}/{16x - 85} = 29/11$. Solving, we get x = 6, so first number is 6 × 19 = 114.