SOLUTION: Mr. Santos is twice as old as his son. In six years, he will be three times what his son�s age was, six years ago. How old is Mr.Santos now?

Question 997523: Mr. Santos is twice as old as his son. In six years, he will be three times what his son�s age was, six years ago. How old is Mr.Santos now?

Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
S= 2s <--Mr. Santos is twice his son's age
S+6= 3(s-6) Watch the parenthesis. It's 3 times (current age-6) and not 3 times current age and the result minus 6. First you subtract 6 from current age, then you multiply times 3
--------------------------
We said above that S= 2s, so let's use this value for S in the next formula:
S+6= 3(s-6) Substitute:
= 2s+6= 3(s-6) Multiply on right to get rid of parenthesis:
2s+6= 3s-18 Add 18 to both sides and subtract 2s from both sides:
24= 1s or 24= s. More elegantly:
s= 24 The son is 24 years old. And the father, the problem says:
2*24= 48 And in 6 years he will be his son's age less 6 times 3:
Father in 6 years: 48+6= 54 And the problem says:
(24-6)*3= 18*3= 54 We have the correct answer.
RELATED QUESTIONS
Tim is twice as old as his son. In six years, Tim's age will be three times what his... (answered by oberobic)

eight years ago, Mr. Fontana was six times as old as his son. In twelve years' time, he... (answered by stanbon)

The father is currently four times as old as his son. In six years, he will be three... (answered by josgarithmetic)

Tim is twice as old as his son. In 6 yrs Tim�s age will be three times what his sons age... (answered by Paul)

Mr. Jackons is 13 years less than 3 times as old as his son. six years ago he was 14... (answered by Paul)

Father is five times as old as his son now. In six years,he will be three times as old as (answered by macston)

In four years time, father will be three times as old as his son. Six years ago, he was 7 (answered by satyareddy22)

Mr. Jackson is 13 years less than three times as old as his son. Six years ago he was... (answered by Maths68)

A father is three times as old as his son. Six years ago he was five times as old as his... (answered by Cromlix)