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A grandfather is ten times older than his granddaughter. He is also 54 years older than her. Find their present ages.

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A grandfather is ten times older than his granddaughter. He is also 54 years older than her. Find their present ages.

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Let the age of granddaughter be x and grandfather be 10x.

Also, he is 54 years older than her.

According to the question, 10x = x + 54

⇒ 10x – x = 54

⇒ 9x = 54

⇒ x = 6

Age of grandfather = 10x

= 10 × 6 = 60 years.

Age of granddaughter = x = 6 years.

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