Ruchika’s grandmother is five times as old as Ruchika. After 5 years, her grandmother will be four times as old as Ruchika will be then. Find the present age of Ruchika’s grandmother.
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Ruchika’s grandmother is five times as old as Ruchika. After 5 years, her grandmother will be four times as old as Ruchika will be then. Find the present age of Ruchika’s grandmother.
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Step-by-step explanation:
Let Ruchika's present age be x years.
Grandmother's age = 5x
After 5 years,
Ruchika's age = x + 5 years
Grandmother's age = 4(x + 5) years
ATQ,
4(x + 5) = 5x + 5
4x + 20 = 5x + 5
5x - 4x = 20 - 5
x = 15
Ruchika's present age = 15 years
Grandmother's present age = 15 × 5 = 75 years