Question

Six years ago, the age of a person was two years more than five times the age of his son. Four years hence, his age will be two years less than three times the age of his son. After how many years from now will their combined age be 100 years?

Answer 1

Answer:

19

Step-by-step explanation:

Let present age of son = x & father = y

y - 6 = 5(x-6) + 2 => 5x - y = 22 --(1)

y+ 4 = 3(x + 4) - 2 => y - 3x = 6

On adding (1) & (2) eqs ,2x = 28=> x = 14

y = 48

let after t yrs their combined age will be 100 yrs ; (14+t) + (48+ t) = 100

t = 19 yrs