Question

Two numbers are In the ratio 8 and 13 if 14 is added to each number, the ratio became 2 and 3 find the number

Answer 1

Answer:

Here is the direct answer of the question.

Think the numbers are 8α & 13α.

So, according to the question

(8α + 14) : (13α + 14) = 2 : 3

or, 3(8α + 14) = 2(13α + 14)

or, 24α + 42 = 26α + 28

or, 2α = 14

or, α = 7

So, the first number = 8α = 8×7 = 56 and

the second = 13α = 13×7 = 91