Gillian was 11 years old last year. She was 26 years younger than Barbara.
- How old will her Barbara be 8 years later?
- In how many years' time will Gillian's age be 13 of Barbara's age?
| |
Gillian |
Barbara |
Difference |
| Before (Last year) |
11 |
37 |
26 |
| Change 1 |
+ 1 |
+ 1 |
|
| After 1 (Now) |
12 |
38 |
26 |
| Change 2 |
+ 8 |
+ 8 |
|
| After 2 (8 years later) |
|
? |
26 |
(a)
Barbara's age this year
= 11 + 26
= 37
Barbara's age this year
= 37 + 1
= 38
Barbara's age in 8 years' time
= 38 + 8
= 46
| |
Gillian |
Barbara |
Difference |
| Before |
12 |
38 |
26 |
| Change |
+ ? |
+ ? |
|
| After |
1 u |
3 u |
2 u |
(b)
The difference in the age between Gillian and Barbara at first and in the end remains unchanged.
Difference in the age between Gillian and Barbara
= 3 u - 1 u
= 2 u
2 u = 26
1 u = 26 ÷ 2 = 13
Number of years' time that Gillian's age be
13 of Barbara's age
= 13 - 12
= 1
Answer(s): (a) 46; (b) 1
