Answer:
15 and 25
Explanation:
the ratio of the 2 numbers is 3 : 5 = 3x : 5x ( x is a multiplier )
increasing both by 10 , gives ratio
3x + 10 : 5x + 10 = 5 : 7
expressing in fractional form , that is
=
( cross- multiply )
5(5x + 10) = 7(3x + 10) ← distribute parenthesis
25x + 50 = 21x + 70 ( subtract 21x from both sides )
4x + 50 = 70 ( subtract 50 from both sides )
4x = 20 ( divide both sides by 4 )
x = 5
Then original numbers are
3x = 3 × 5 = 15
5x = 5 × 5 = 25