Jane was 9 years old last year. She was 28 years younger than Olivia.
- How old will her Olivia be 6 years later?
- In how many years' time will Jane's age be 13 of Olivia's age?
| |
Jane |
Olivia |
Difference |
| Before (Last year) |
9 |
37 |
28 |
| Change 1 |
+ 1 |
+ 1 |
|
| After 1 (Now) |
10 |
38 |
28 |
| Change 2 |
+ 6 |
+ 6 |
|
| After 2 (6 years later) |
|
? |
28 |
(a)
Olivia's age this year
= 9 + 28
= 37
Olivia's age this year
= 37 + 1
= 38
Olivia's age in 6 years' time
= 38 + 6
= 44
| |
Jane |
Olivia |
Difference |
| Before |
10 |
38 |
28 |
| Change |
+ ? |
+ ? |
|
| After |
1 u |
3 u |
2 u |
(b)
The difference in the age between Jane and Olivia at first and in the end remains unchanged.
Difference in the age between Jane and Olivia
= 3 u - 1 u
= 2 u
2 u = 28
1 u = 28 ÷ 2 = 14
Number of years' time that Jane's age be
13 of Olivia's age
= 14 - 10
= 4
Answer(s): (a) 44; (b) 4
