Question

sum of three numbers is 212. if the ratio of the first to the second is 13:16 and that of the second to the third is 2:3,then find the numbers

Answer 1

HELLO PRADIP,
HERE IS YOUR ANSWER..............

SO, LET'S START
sum of the three numbers is 212.
the ratios are 13:16 and 2:3.

we have to make this in 3 ratios because they are in 4 ratios and the total is the sum of three numbers.
so,we write this as 13/16 and 2/3.
we take the LCM of 16 and 2=16.
THEN,
13/16×1/1 and 2/3×8/8
13/16 and 16/24.
SO, WE WRITE THIS AS THE
13:16:24.

BY THIS WE TAKE OUT THE NUMBERS BY THE RATIOS.

SUM OF THE RATIOS =13+16+24
=53.
SUM OF NUMBERS IS =212.

FIRST RATIO=13
SECOND RATIO=16
THIRD RATIO=24.


SO,
FIRST NUMBER=212×13/53
=52.
SECOND NUMBER=212×16/53
=64.
THIRD NUMBER=212×24/53
=96.

THE THREE NUMBERS ARE.......
52, 64, 96...

LET'S CHECK,
52+64+96
212.....


SO, PRADIP HERE IS YOUR CORRECT ANSWER....
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Answer 2

I hope this helps you.

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