Answer:
65
Step-by-step explanation:
let the son's age be x then the man's age is 5x
In 13 years
son's age = x + 13 and man's age = 5x + 13 and he is 3 times as old as son
5x + 13 = 3(x + 13)
5x + 13 = 3x + 39 ( subtract 3x from both sides )
2x + 13 = 39 ( subtract 13 from both sides )
2x = 26 ( divide both sides by 2 )
x = 13 ← son's present age
5x = 5 × 13 = 65 ← man's present age
Answer:
The man's present age is 65.
Step-by-step explanation:
Let x = the man's age and y = his son's age.
In 13 yr, their ages will be x + 13 and y + 13, respectively.
We have two conditions:
(1) x = 5y
(2) x + 13 = 3(y + 13) Remove parentheses
x + 13 = 3y + 39 Subtract 13 from each side
(3) x = 3y + 26 Substitute (1) into (3)
5y = 3y + 26 Subtract 2y from each side
2y = 26 Divide each side by 2
(4) y = 13 Substitute (4) into (1)
x = 5 × 13
x = 65
The man's present age is 65.
