Discussion of Question with ID = 100 under Ratio-and-Proportion

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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.


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