# 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?

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'y' be her brother's age at present

Let 'x+2' be Carol's age two years from now

'y+2' be her brother's age two years from now

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Carol is five times as old as her brother

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

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

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

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From equation 2:

x+2= 3(y+2)

x+2 = 3y + 6

x = 3y + 6 - 2

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

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Substitute equation 3 to equation 1

x = 5y

3y + 4 = 5y

5y - 3y = 4

2y = 4

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Substitute y=2 to equation 1

x = 5y

x = 5(2)

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Therefore at present,Carol is 10 years old while her brother is 2 years old.