Let the granddaughter’s age be x years. Therefore, grandfather’s age will be 10x years. According to the question,
Grandfather’s age = Granddaughter’s age + 54 years
10x = x + 54
Transposing x to L.H.S, we obtain
10x - x = 54
9x = 54
x = 6
Granddaughter’s age = x years = 6 years
Grandfather’s age = 10x years
= (10 × 6) years = 60 years