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Mary is twice older than her sister in 5 years time she will be 2 years older than her sister find how old they both are

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Answer:

Mary is 4 year is now. The sister is 2 years old now.

Explanation:

Let m = Mary's age now.

Let s = the sister's age now.

"Mary is twice older than her sister"

m = 2s

In 5 years, Mary's age will be m + 5, and the sister's age will be s + 5.

"in 5 years time she will be 2 years older than her sister"

m + 5 = (s + 5) + 2

m + 5 = s + 7

m - s = 2

We have a system of equations.

m = 2s

m - s = 2

Substitute 2s for m in the second equation.

2s - s = 2

s = 2

The sister is 2 years old now.

m = 2s = 2 × 2 = 4

Mary is 4 year is now.

User David Baak
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