Question 622402: 1. A is 6 years older than B. In 5 years time their total age is 70. How old are they now? The answer is 33 and 27, but how do you calculate this? Found 2 solutions by josmiceli, lenny460:Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! given:
(1)
In 5 years, A's age will be
In 5 years, B's age will be
so,
(2)
and, from (1),
(1)
Now add the equations
(1)
(2)
and, since
(2)
(2)
(2)
(2)
A is 33
B is 27
You can put this solution on YOUR website! Let the age of A be = n + 6
Let the age of B be = n
In five years time:
A = n + 6 + 5
B = n + 5
(n + 6 + 5) + (n + 5)
n + 6 + 5 + n + 5
Combine like terms:
n + n = 2n
6 + 5 + 5 = 16
2n + 16 = 70
Subtract 16 from each side of the equation.
2n + 16 - 16 = 70 - 16
Combine like terms:
16 - 16 = 0
70 - 16 = 54
2n = 54
Divide each side by 2
2n/2 = 54/2
n = 27
n + 6 = 27 + 6 = 33
Therefore:
A is 33 years old and
B is 27 years old.
