Answer:
Denote the two numbers: a and b
Two numbers are in the ratio 7:5
=> a/b = 7/5
=> a = (7/5) x b (1)
When 10 is subtracted from each term , the ratio becomes 3:2
=> (a - 10)/(b - 10) = 3/2
=> 2 x (a - 10) = 3 x ( b - 10)
=> 3 x b - 2 x a = 10
From (1) => 3 x b - 2 x (7/5) x b = 10
=> (1/5) x b = 10
=> b = 50
=> a = (7/5) x b = (7/5) x 50 = 70
Hope this helps!
:)