Three years ago James age was 7 times that
of Jack. Three years hence James
age will
be four times that of Jack's age. The present
age of Jack is:
Answers
Answer:
age 12 he is three times the age he was at 4 years old. ... The standard procedure is to let Jack's present age be J. In 4 years, his age will ...
2 votes
Answer:
→The present age of Jack is 9 years and the present age of James is 45 years.
Step-by-step explanation:
Explanation:
Let the age of Jack be y and age of James be x.
Three years ago:
The age of Jack = y - 3.
The age of James = x - 3.
Given that Three years ago James age was 7 times that of jack.
=> x - 3 = 7(y - 3)
=> x - 3 = 7y - 21
=> x - 7y = -21 + 3
=> x - 7y = - 18 ------------ (1)
Given that three years hence James age will be four times that of jack.
=> x + 3 = 4(y + 3)
=> x + 3 = 4y + 12
=> x - 4y = 9 ------ (2)
On solving (1) & (2), we get
=> x - 7y = -18
=> x - 4y = 9
-------------------
-3y = -27
y = 9.
Substitute y = 9 in (1), we get
=> x - 7y = -18
=> x - 7(9) = -18
=> x - 63 = -18
=> x = -18 + 63
=> x = 45.
Therefore the present age of Jack is 9 years and the present age of James is 45 years.
- I hope this help you..