Question

The sum of three no. is 212. If the ratio to the first to the second is 13: 16 and that of the second to the third is 2:3, then find the no.

Answer 1

A:B=13:16
B:C=2:3
B:C=2×16/2:3×16/2
B:C=16:48/2

Numbers Ratio=13:16:48/2
Let Ratio=13x,16x,48/2x

Sum=212
A/Q
13x+16x+48/2x=212
13×2x+16x×2+48x/2=212
26x+32x+48x/2=212
106x/2=212
53x=212
x=212/53
x=4

First Number=13x=13×4=52
Second Number=16x=16×4=64
Third Number=48x/2=48×4/2=96