Linda was 8 years old last year. She was 28 years younger than Wendy.
- How old will her Wendy be 8 years later?
- In how many years' time will Linda's age be 13 of Wendy's age?
| |
Linda |
Wendy |
Difference |
| Before (Last year) |
8 |
36 |
28 |
| Change 1 |
+ 1 |
+ 1 |
|
| After 1 (Now) |
9 |
37 |
28 |
| Change 2 |
+ 8 |
+ 8 |
|
| After 2 (8 years later) |
|
? |
28 |
(a)
Wendy's age this year
= 8 + 28
= 36
Wendy's age this year
= 36 + 1
= 37
Wendy's age in 8 years' time
= 37 + 8
= 45
| |
Linda |
Wendy |
Difference |
| Before |
9 |
37 |
28 |
| Change |
+ ? |
+ ? |
|
| After |
1 u |
3 u |
2 u |
(b)
The difference in the age between Linda and Wendy at first and in the end remains unchanged.
Difference in the age between Linda and Wendy
= 3 u - 1 u
= 2 u
2 u = 28
1 u = 28 ÷ 2 = 14
Number of years' time that Linda's age be
13 of Wendy's age
= 14 - 9
= 5
Answer(s): (a) 45; (b) 5
