Math, asked by ssss56, 11 months ago

A girl is twice as old as her sister. Five years hence, the product of their ages ( in years) will be 375. Find their present ages.​

Answers

Answered by kesherni24
12

Let "x" be the age of sister

"2x" be the age of girl

Five years hence,

age of sister = x + 5

Age of girl = 2x + 5

Product of their ages = 375

(x + 5)(2x + 5 ) = 375

2x2 + 5x + 10x + 25 - 375 = 0

2x2 + 15x - 350 = 0

2x2 - 20x + 35x - 350 = 0

2x(x - 10) + 35(x -10) = 0

(2x + 35)(x - 10) = 0

x = 10

Hence the age of sister is 10 years, age of girl = 2(10) = 20 years.

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Answered by jeslin2019
2
The answer is :
The girl is 20 years old while her sister is 10years.... now
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