Eric is 9 years old. His mother is 34 years older than him. In how many years will Eric's mother be 3 times as old as Eric?
| |
His mother |
Eric |
Difference |
| Before |
43 |
9 |
34 |
| Change |
+ ? |
+ ? |
|
| After |
3 u |
1 u |
2 u |
The difference in the age between Eric and his mother at first and in the end remains the same.
Difference in the age between Eric and his mother
= 3 u - 1 u
= 2 u
2 u = 34
1 u = 34 ÷ 2 = 17
The increase in age of Eric and his mother remains the same.
Number of years' time so Eric's mother will be 3 times as old as Eric
= 17 - 9
= 8
Answer(s): 8
