Question

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} )

# 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

Solution