SOLUTION: Tommy is three years older than Jack. Sadie is seven less than twice Jack’s age. Sadie and Tommy are twins. How old is jack

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Question 1195826: Tommy is three years older than Jack. Sadie is seven less than twice Jack’s age. Sadie and Tommy are twins. How old is jack
Found 4 solutions by greenestamps, ikleyn, MathLover1, josgarithmetic:
Answer by greenestamps(13200)   (Show Source):
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If J is Jack's age, then Tommy's age is J+3, and Sadie's age is 2J-7.

But Sadie and Tommy are twins:

J+3 = 2J-7
10 = J

ANSWER: Jack is 10

Answer by ikleyn(52781)   (Show Source):
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.
Tommy is three years older than Jack. Sadie is seven less than twice Jack’s age.
Sadie and Tommy are twins. How old is jack
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Write equations as you read the problem T = J + 3, (1) S = 2J - 7, (2) S = J. (3) Equation (3) implies J + 3 = 2J - 7, or 3 + 7 = 2J - J 10 = J ANSWER. Jack is 10 years old.

Solved.

Answer by MathLover1(20849)   (Show Source):
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let's Tommy's age be , Jack 's age , and Sadie's age
if Tommy is three years older than Jack, we have
......eq.1

if Sadie is seven less than twice Jack’s age, we have

..............eq.2

if Sadie and Tommy are twins, then
.............eq.3

=> so we have ..............eq.2a

then from eq.1 and eq.2a we have

Jack is years old
Tommy is years old
Sadie isyears old

Answer by josgarithmetic(39617)   (Show Source):
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TOMMY j+3 JACK j SADIE 2j-7

Tommy and Sadie, being twins are the same age.