Question

Two numbers are in the ratio of 2:5 when 7 is subtracted from each the ratio becomes 1:6. The original numbers are

Answer 1

↑ Here is your answer ↓
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Let the numbers be '2x' and '5x'

Given that

$(2x-7)/(5x-7) = 1/6$

Cross multiply

$12x - 42 = 5x - 7$

$12x - 42 - 5x + 7 = 0$

$7x - 35 = 0$

$7x = 35$

$x = 35/7$

$x= 5$

So, the numbers are

$2x = 2*5 = 10$

$5x=5*5=25$

Answer 2

let the 2 numbers be 2x and 5x
B.G.C
2x - 7 / 5x - 7 = 1 / 6
6 ( 2x - 7 ) = 1 ( 5x - 7 )
= 12x - 42 = 5x - 7
12x - 5x = -7 + 42
= 7x = 35
x = 35 /7 = 5
The 2 numbers are 10 , and 25.
Hope this helps you.