# Carol is five times as old as her brother.she will be three times as old as her brother in two years.how old is carol now?

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by trixiejoyce

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by trixiejoyce

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X-brother

carol-5x

5x=3(x+2)

5x=3x+6

2x=6

x=3

Therefore Carol is 15, her brother is 3.

Hope this helps =)

carol-5x

5x=3(x+2)

5x=3x+6

2x=6

x=3

Therefore Carol is 15, her brother is 3.

Hope this helps =)

'y' be the age of Carol at present

'x+2' --age of Carol's brother

'y+2' ---Carol's age

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-Carol is 5 times as old as her brother

y = 5x ------equation 1

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-she will be three times as old as her brother in two years

(y+2) = 3(x+2)

y + 2 = 3x + 6

y = 3x + 6 - 2

y = 3x + 4 -----equation 2

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Substitute equation 1 to equation 2

y = 3x + 4

5x = 3x + 4

5x - 3x = 4

2x = 4

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Substitute x=2 to equation 1

y = 5x

y = 5(2)

Therefore Carol is 10 years old and her brother is 2 years old.