Ratio between age of P and Q is 5 : 7. If 2 years ago Q’s age was 2 years more than the age of P after 4 years, then find their total age

30 years 35 years 42 years 48 years

48 years

P and Q = 5 :7 Present age of P = 5x Present age of Q = 7x Age of Q 2 years ago = 7x - 2 Age of P 4 years after = 5x + 5 According to question: $7x – 2 = (5x + 4) + 2$ $2x = 8$ $x = 4$ Total sum = $12x = 48$