Q9. A grandfather is ten times older than his granddaughter. He is also 54 years older than her. Find their present ages.
Let the age of granddaughter is x years.
So the age of grandfather is x + 54.
Also grandfather is ten times older than his granddaughter.
i.e., x + 54 = 10x
Transposing x to the RHS :
54 = 10x - x
or 54 = 9x
or x = 6
Therefore age of granddaughter = 6 years
and the age of grandfather = 6 + 54 = 60 years
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