Question

Two numbers are in the ratio 6:11. On adding 2 to the first and 7 to the second, their ratio becomes 8:15. Find the numbers.​

Answer 1

Answer:

Let the two numbers be 6x and 11x

Given 2 is added to second

Hence the numbers become (6x+2) and (11x+7)

Given, (6x+2) : (11x+7) = 8:15

Hence, 15(6x+2) = 8(11x+7)

90x + 30 = 88x + 56

2x = 26

Therefore, x = 13

Hence, the numbers are 6x = 6×13 = 78

11x = 11×13 = 143

Numbers are 78, 143

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Answer 2

Answer:

let the ratio constant be k

first no = 6k

second no = 11k

ATQ:-

6k + 2 : 11k + 7

:- (6k+2)/(11k+7) = 8/15

:- 8(6k+2) = 15(11k+7(

:- 48k+16 = 165k+105

:- 16-105 = 165k-48k

:- (-89) = 117k