Two numbers are in the ratio 6:7. If 12 is added to each of the numbers, their ratio becomes 7:8. Find the two numbers.

A72, 84 ✓ Correct

B84, 96

C84, 98

D96, 84

Correct answer: (A) 72, 84

Explanation

The numbers are 72 and 84.

Let them be 6x and 7x.

(6x+12)/(7x+12) = 7/8.

8(6x+12) = 7(7x+12) gives 48x+96 = 49x+84, so x = 12.

6 x 12 = 72 and 7 x 12 = 84.

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