Question

two numbers are in the ratio of 5 :6 .If 7 is subtracted from each of the number the ratio becomes 4:5 .find the numbers​

Answer 1

The numbers are 35 and 42.
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Answer 2

$<b>Let the common multiple be x</b>$

So, let the 1st number be 5x and 2nd number be 6x

After 7 subtracting from both of them,

$<b>1st number becomes 5x - 7</b>$

2nd number becomes 6x - 7

$<b>According to the given condition</b>$

5x - 7/6x - 7 = 4/5

☛ 5(5x - 7) = 4(6x - 7)

☛ 25x - 35 = 24x - 28

☛ 25x - 24x = -28 + 35

☛ x = 7

∴ 1st number ☛ 5x

☛ 5 × 7

☛ $\large{\boxed{\boxed{\rm{35}}}}$

∴ 2nd number ☛ 6x

☛ 6 × 7

☛ $\large{\boxed{\boxed{\rm{42}}}}$