Question

how to solve this problem

Answer 1

Let x be subtracted, so

(21-x):(38-x) = (55-x):(106-x)

(21-x)/(38-x) = (55-x)/(106-x)

(21-x) (106-x) = (55-x) (38-x)

2226 - 21x - 106x + x² = 2090 - 55x - 38x + x²

2226 - 2090 - 127x = -93x

127x - 93x = 136

34x = 136

x = 136/34

x = 4

So 4 must be subtracted from each one of them to make them in proportion

(21-x):(38-x) = (55-x):(106-x)

(21-4):(38-4) = (55-4):(106-4)

17:34 = 51:102

1:2 = 1:2