What is the ratio whose terms differ by 40

Asked by admin @ 23/08/2021 in Math viewed by 294 People

What is the ratio whose terms differ by 40 and the measure of which is 2/7?

Answered by admin @ 23/08/2021

let's say one term is x and the other is y.

x/y = 2/7 therefore x = (2/7)y

from the ratio above we know y must be bigger than x as x is proportionate to 2, y is proportionate to 7

therefore x = y - 40

we have two terms for x, equating them gives

(2/7)y = y - 40

rearranging gives

(-5/7)y = -40 so y = 56

therefore x = 16

Ratio is 16:56

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