Question

the sum of two number is 160 if the ratio of the numbers is 5 : 11. then, find the numbers:

Answer 1

numbers are as follows : 50:110

Answer 2

Consider 2 no.s such that their sum is 160
Let 2 no.s be x
and 160-x

Given
x:(160-x) = 5:11
=> x/(160-x) = 5/11
11x = 5(160 - x)

[ Cross multiply (or) take Product of Extremes = Product of Means in the given Ratio]

11x = 800 - 5x
16x = 800
x = 50

So one no. is x= 50 and other is 160-x=160-50=110

;)
hope it helps
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