The ratio of the age of P and Q is 7 : 4 . After 6 years their age will be in the ratio of 5 : 3 . Find the ratio of the sum and difference of the present ages of P & Q.
Answer & explanation
Correct answer: option 3
Let age of P = 7x and age of Q = 4x
Now , according to question
\(\frac{7x+ 6}{4x+6}\) = \(\frac{5}{3}\)
21x + 18 = 20x + 30
x = 12
so,
Sum of present age of Present age of P & Q = ( 12 x 7 ) + ( 12 x 4 ) = 132
Difference of present age of Present age of P & Q = 84 - 48 = 36
Required ratio ( P + Q ) : (P - Q )
132 : 36
33 : 9