Question

two numbers are in the ratio 5:6. When 2 is added to first and 3 is added to second they are in the ratio 4:5 find the number?

Answer 1

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Answer 2

Given :

Two numbers are in Ratio 5 : 6

let first number is 5x

second number is 6x

According to the given question

$\dfrac{5x + 2}{6x + 3} = \dfrac{4}{5}$

Cross multiplication

5(5x+2) = 4(6x+2)

25x+10 = 24x+8

25x - 24x = 10 - 8

x = 2.

Hence , first number 5x = 5(2) = 10

Second number 6x = 6(2) = 12.