Question

Rakhi's mother is 4 times as old as rakhi. After 5 years, her mother will be 3 times as old as she will be then. Find the present ages.

Answer 1

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Answer 2

Answer:

Rakhi's Age = 10 years

Rakhi's Mother Age = 40 years

Step-by-step explanation:

Let Rakhi's age be X

and Rakhi's mother age be Y

Given, Y = 4X ------------------------ eq. (1)

Now,

Y + 5 = 3(X + 5)

Y + 5 = 3X + 15

Y = 3X + 10 --------------------------- eq. (2)

Comparing equation (1) & (2) we get,

4X = 3X + 10

⇒ 4X - 3X = 10

⇒ X = 10 (Rakhi's age)

Putting the value of X in eq. (1) we get

Y = 4 x 10 = 40 (Rakhi's Mother age)