Two angles are complementary to each other, if the ratio of the two angles is 3:2, then what is the difference of measures in degree of these two angles?

Question

please explain :(

Answer 1

complementary angles add up to 90°
let the two angles be 3x and 2x,
then their difference is x

but 3x + 2x = 90
5x = 90
x = 18

the difference in the two angles is 18°

check:
one is 3(18) = 54
the other is 2(18) = 36
and what is their difference ??