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Today my i am twice my daughters age. in 20 years i will be 1.5 times her age how old is she

1 Answer

2 votes

Good morning ☕️

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Answer:

She is 20 years old

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Explanation:

Let x be the age of the daughter.

Let y be the age of the mother.

then , we have to solve the system:

y=2x (1)

y+20=1.5(x+20) (2)

If we substitute y by 2x in the second equation we get :

(2) 2x+20=1.5(x+20) ⇔ 2x+20=1.5x+30 ⇔ 2x-1.5x=30-20

⇔ 0.5x=10 ⇔ x=20.

By the way the mother’s s age = 40 years.

:)

User Sudarshan Tanwar
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