Question 118

The sum of three numbers is 243. If the ratio of the first to the second is 2:3 and that of the second to the third is 3:4, then the second number is

Solution

LET THE THREE NUMBERS IN THE ORDER BE A,B AND C.

GIVEN :

A+B+C = 243 (1)

A/B = 2/3, SO 3A = 2B

AND B/C = 3/4, SO 4B = 3C

PUTTING VALUES OF B IN EQUATION 1, WE GET

B = 81, A = 54 AND C= 108

SECOND NUMBER IS 81.

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