Question 1151113

If the father's age in 3 years will be twice the son's age 4 years ago, and if the sum of their ages now is 106, how old is the father now?
<pre>Let father's age be F, ad son's, S
Then we get: F + 3 = 2(S - 4)_____F - 2S = - 11 ---- eq (i)
Also, F + S = 106____S = 106 - F ------ eq (ii)
F - 2(106 - F) = - 11 ----- Substituting 106 - F for S in eq (i)
F - 212 + 2F = - 11
3F = 201
F, or father is: {{{highlight_green(matrix(1,4, 201/3, "=", 67, years-old))}}}