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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Question ⤵
A grandfather is ten times older than his granddaughter. He is also 54 years older than her. Find their present ages .
Answer ⬇
Granddaughter's age = 6 years .
Grandfather's age = 60 years .
Step-by-step explanation ⤵
Let the granddaughter's age be x years. Therefore, grandfather's age be 10x years.
According to the question,
Grandfather's age = Granddaughter's age + 54 years .
10x = x + 54
Transporting x to LHS, we obtain
10x - x = 54
9x = 54
x = 54/9
x = 6 .
Granddaughter's age = x = 6 years .
Grandfather's age = 10x = 10 × 6 = 60 years .
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