Natalie was 6 years old last year. She was 24 years younger than Gillian.
- How old will her Gillian be 8 years later?
- In how many years' time will Natalie's age be 14 of Gillian's age?
| |
Natalie |
Gillian |
Difference |
| Before (Last year) |
6 |
30 |
24 |
| Change 1 |
+ 1 |
+ 1 |
|
| After 1 (Now) |
7 |
31 |
24 |
| Change 2 |
+ 8 |
+ 8 |
|
| After 2 (8 years later) |
|
? |
24 |
(a)
Gillian's age this year
= 6 + 24
= 30
Gillian's age this year
= 30 + 1
= 31
Gillian's age in 8 years' time
= 31 + 8
= 39
| |
Natalie |
Gillian |
Difference |
| Before |
7 |
31 |
24 |
| Change |
+ ? |
+ ? |
|
| After |
1 u |
4 u |
3 u |
(b)
The difference in the age between Natalie and Gillian at first and in the end remains unchanged.
Difference in the age between Natalie and Gillian
= 4 u - 1 u
= 3 u
3 u = 24
1 u = 24 ÷ 3 = 8
Number of years' time that Natalie's age be
14 of Gillian's age
= 8 - 7
= 1
Answer(s): (a) 39; (b) 1
