Shannon was 12 years old last year. She was 28 years younger than Natalie.
- How old will her Natalie be 5 years later?
- In how many years' time will Shannon's age be 13 of Natalie's age?
| |
Shannon |
Natalie |
Difference |
| Before (Last year) |
12 |
40 |
28 |
| Change 1 |
+ 1 |
+ 1 |
|
| After 1 (Now) |
13 |
41 |
28 |
| Change 2 |
+ 5 |
+ 5 |
|
| After 2 (5 years later) |
|
? |
28 |
(a)
Natalie's age this year
= 12 + 28
= 40
Natalie's age this year
= 40 + 1
= 41
Natalie's age in 5 years' time
= 41 + 5
= 46
| |
Shannon |
Natalie |
Difference |
| Before |
13 |
41 |
28 |
| Change |
+ ? |
+ ? |
|
| After |
1 u |
3 u |
2 u |
(b)
The difference in the age between Shannon and Natalie at first and in the end remains unchanged.
Difference in the age between Shannon and Natalie
= 3 u - 1 u
= 2 u
2 u = 28
1 u = 28 ÷ 2 = 14
Number of years' time that Shannon's age be
13 of Natalie's age
= 14 - 13
= 1
Answer(s): (a) 46; (b) 1
