Question

if Aand B are in the ratio 3:4and Band C in the ratio 12:13 then A and C will be in the ratio​

Answer 1

Ratio between ages of A and B=3:4

=4xRatio between ages of A and C=4:5Let constant here be yThen , age of A=4y and age of C=5y

Ratio between ages of A and B=3:4Let constant here be xThen , age of A=3x and age of B=4xRatio between ages of A and C=4:5Let constant here be yThen , age of A=4y and age of C=5y Then According to question,

Ratio between ages of A and B=3:4Let constant here be xThen , age of A=3x and age of B=4xRatio between ages of A and C=4:5Let constant here be yThen , age of A=4y and age of C=5y Then According to question,4x=5y+3 .1

Ratio between ages of A and B=3:4Let constant here be xThen , age of A=3x and age of B=4xRatio between ages of A and C=4:5Let constant here be yThen , age of A=4y and age of C=5y Then According to question,4x=5y+3 .1Also, 3x=4y .2

Ratio between ages of A and B=3:4Let constant here be xThen , age of A=3x and age of B=4xRatio between ages of A and C=4:5Let constant here be yThen , age of A=4y and age of C=5y Then According to question,4x=5y+3 .1Also, 3x=4y .2Solving eq. 1 and 2 we get ,

Ratio between ages of A and B=3:4Let constant here be xThen , age of A=3x and age of B=4xRatio between ages of A and C=4:5Let constant here be yThen , age of A=4y and age of C=5y Then According to question,4x=5y+3 .1Also, 3x=4y .2Solving eq. 1 and 2 we get ,x=12 and y=9

Ratio between ages of A and B=3:4Let constant here be xThen , age of A=3x and age of B=4xRatio between ages of A and C=4:5Let constant here be yThen , age of A=4y and age of C=5y Then According to question,4x=5y+3 .1Also, 3x=4y .2Solving eq. 1 and 2 we get ,x=12 and y=9Hence age of A=36 years,age of B=48 years and age of C=45 years

Ratio between ages of A and B=3:4Let constant here be xThen , age of A=3x and age of B=4xRatio between ages of A and C=4:5Let constant here be yThen , age of A=4y and age of C=5y Then According to question,4x=5y+3 .1Also, 3x=4y .2Solving eq. 1 and 2 we get ,x=12 and y=9Hence age of A=36 years,age of B=48 years and age of C=45 yearsThen sum of ages of B and C=48+45=93years

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From:- Einstein Public School