Question

Cherry's age in 20 years will be the same as Terry's age now. Ten years from now, Terry's age will be twice Cherry's. How old was each 5 years ago.​

Answer 1

Answer :

Sheri's age in 20 years will be the same as Terry's age now. Ten years from now, Terry's age will will be twice as Sheri's. What are their present ages?

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NOW DATA:

Let Sheri's age be x yrs ; Let Terry's age be y yrs old.

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20 yrs from NOW DATA:

Sheri will be x+20 ; Terry will be y+20

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10 yrs from NOW DATA:

Sheri will be x+10, Terry will be y+10

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EQUATIONS:

x+20 = y

y+10=2(x+10)

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Rearrange and simplify to get:

1st: x - y = -20

2nd: 2x - y = -10

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Subtract 1st from 2nd to get:

x = 10 (Sheri's age NOW)

Substitute into y = x+20 to solve for y:

y = 10+20 = 30 (Terri's age NOW)

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Cheers,

Stan H.

just difference of name