1. The sum of three numbers is 162. If the ratio of the first number to the second number is 5: 7 and that of the second number to the third number is 5: 3, then what is the second number?
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By: anil on 05 May 2019 02.07 am
Let the numbers be $$x,y,z$$ Thus, $$x:y=5:7$$ -----------(i) and $$y:z=5:3$$ -------------(ii) Multiplying equation (i) by 5 and equation (ii) by 7 => $$x:y:z=25:35:21$$ Let $$x=25k$$, $$y=35k$$ and $$z=21k$$ => Sum of three numbers = $$25k+35k+21k=81k=162$$ => $$k=frac{162}{81}=2$$ $$ herefore$$ Second number = $$35 imes2=70$$ => Ans - (B)
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