Question

a ratio in its lowest terms in 3:7 if the difference between them is 16 find the quantities

Answer 1

$let \: \: the \: \: quantities \: \: be \: \: 3x \: \: and \: \: 7x \\ given \: \: 7x - 3x = 16 \\ 4x = 16 \\ x = 4 \\ therefore \: \: quantities \: \: are \\ 3 \times 4 = 12 \: \: and \: \: 7 \times 4 = 28$