Question

1 22 20. Two numbers are in the ratio of 1- When each of these is increased by 15, the ratio changes to 21 14:2= The larger of the numbers is, 3 2

Bank Exams

Maths

Solution

114

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ket the two numbers be ( x ) & ( y ). ( Leftrightarrow frac{x}{y}=frac{11 / 2}{frac{22}{3}}=frac{3 / 2}{22 / 3}=frac{9}{44} ) When both are increased by ( frac{x+15}{y+15}=frac{12 / 3}{21 / 2}=frac{5 / 3}{5 / 2}=frac{2}{3} ) ( Rightarrow quad 3 x+45=2 y+30 ) ( Rightarrow quad 3 x+15=2 y ) ( Rightarrow quad 3 x+15=frac{88 x}{9} ) ( Rightarrow quad 15=frac{(88-27) x}{9} ) ( Rightarrow quad x=frac{15 times 9}{61}=frac{135}{61} ) ( y=frac{44 x}{9}=frac{44}{9} times frac{135}{61}=frac{660}{61} ) The larger of the two members is ( frac{660}{61} )