SOLUTION: Sara's age is 7 more than antonio's age.Two times Antonio's age plus 3 times sara's age is equal to 36. How old are they?

Question 1035686: Sara's age is 7 more than antonio's age.Two times Antonio's age plus 3 times sara's age is equal to 36. How old are they?
Answer by ikleyn(52787) (Show Source): You can put this solution on YOUR website!
.
Sara's age is 7 more than antonio's age.Two times Antonio's age plus 3 times sara's age is equal to 36. How old are they?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

s = a + 7,      (1)
2a + 3s = 36.   (2)

Substitute expression (1) for s into (2). You will get a single equation for a:

2a + 3*(a+7) = 36,

2a + 3a + 21 = 36,

5a = 36 - 21 = 15,

a = 3.

Antonio is 3 years old.
Sara's age is 3 + 7 = 10 years.

RELATED QUESTIONS
Hi, I need help on how to set this problem up to get the answer Two times Antonio�s age... (answered by Alan3354)

Five times Jeff's age plus three times Karen's are equals 92. Karen's age is 4 more than... (answered by VFBundy)

Lee’s mother’s age is two more than three times Lee’s age, the sum of their ages is (answered by ikleyn)

Rachael's grandpa's age is 5 multiplied by 7 more than Rachael's age. Her grandma's age... (answered by josgarithmetic)

If two times Sam�s age plus three times Sarah�s age equals 34 and Sarah�s age is also... (answered by josgarithmetic,greenestamps)

marty’s age is 36, which is 12 more than 4 times daisy’s age. how old is daisy? (answered by josgarithmetic,ikleyn)

Michael's age plus Phil's age is 44. Twice Phil's age is 4 more than Michael's age. How... (answered by josgarithmetic)

Three times Fred�s age plus four times Jane's age equals 71. Fred's age is also three... (answered by fractalier)

Tom is 4 more than twice Andrews age . Sara is 8 less than 5 times Andrews age . If Tom... (answered by rfer)