A grandfather is ten times older than his grand daughter. He is also 54 years older than her. Find their present ages.
A
The present age of granddaughter is 6 years and that of grandfather is 60 years.
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B
The present age of granddaughter is 8 years and that of grandfather is 80 years.
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C
The present age of granddaughter is 7 years and that of grandfather is 70 years.
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D
The present age of granddaughter is 9 years and that of grandfather is 90 years.
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Solution
The correct option is A The present age of granddaughter is 6 years and that of grandfather is 60 years. Let the present age of granddaughter be x years. So, the present age of grandfather is 10x years. According to the given condition, we have 10x−x=54 ⇒9x=54
⇒x=6 .... On dividing 9 from both the sides Hence, the present age of granddaughter is 6 years and that of grandfather is 60 years.