a grandfather is 9 times older than his granddaughter. In 8 years the grandfather will be 5 times older than his granddaughter.
1 answer:
Given:
A grandfather is 9 times older than his granddaughter.
In 8 years the grandfather will be 5 times older than his granddaughter.
To find:
The present age of grandfather and granddaughter.
Solution:
Let x be the present age of granddaughter.
Then, present age of grandfather = 9x
After 8 years,
Age of granddaughter = x+8
Age of grandfather = 9x+8
In 8 years the grandfather will be 5 times older than his granddaughter.
Isolate variable terms.
Divide both sides by 4.
Now,
Present age of granddaughter = 8
Present age of grandfather = 9(8) = 72
Therefore, the present age of granddaughter is 8 years and present age of grandfather is 72 years.
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