Asher's current age is 7 times as old as Elijah's age years ago. Today, Elijah's age is Asher's age the same number of years ago. How old is Elijah's age now if the total of their current age is 110?
| |
Asher |
Elijah |
Difference |
Total |
| Before |
1 p |
1 u |
1 p - 1 u |
|
| Change |
+ ? |
+ ? |
|
|
| After |
7 u |
1 p |
7 u - 1 p |
110 |
Total age of Asher and Elijah today = 7 u + 1 p
7 u + 1 p = 110 --- (1)
The difference in Asher's age and Elijah's age remains the same.
7 u - 1 p = 1 p - 1 u
7 u + 1 u = 1 p + 1 p
8 u = 2 p
4 u = 1 p
Substitute 1 p = 4 u into (1).
7 u + 1 p = 110
7 u + 4 u = 110
11 u = 110
1 u = 110 ÷ 11 = 10
Asher's age now
= 110 - 7 u
= 110 - 7 x 10
= 110 - 70
= 40
Answer(s): 40
