Question

If three numbers are in the ratio 2:3:5 and the twice their sum is 100

Answer 1

Step-by-step explanation:

Let the three numbers be 2x, 3x and 5x

$\therefore \: 2(2x+3x+5x)=100 \\ \therefore \:2 \times 10x = 100 \\ \therefore \:20x = 100 \\ \therefore \:x = \frac{100}{20} \\ \huge \fbox{\therefore \:x = 5} \\ \implies \\ 2x = 2 \times 5 = 10 \\ 3x = 3 \times 5 = 15 \\ 5x = 5 \times 5 = 25 \\ thus \: the \: three \: numbers \: are \: 10, \: \\ 15 \: and \: 25.$