SOLUTION: John is one year less than three times as old as Ann. the sum of their ages is 79. What are their ages?

Question 1124682: John is one year less than three times as old as Ann. the sum of their ages is 79. What are their ages?
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
.

From the condition, you have these two equations


    J = 3A - 1     (1)     ("John is one year less than three times as old as Ann.")

    J + A = 79.    (2)     (It is clear without explanations)


From eq(1), substitute the expression for J into eq(2). You will get


    (3A-1) + A = 79

    4A = 79 + 1

    4A = 80  ====>  A = 80/4 = 20.


Answer.  Ann is 20 years old.  John is 79-20 = 59 years old.

Solved.

RELATED QUESTIONS
Meriam is 4 less than three times as old as Sally. If the sum of their ages is 68.what... (answered by Edwin McCravy)

John is three times as old as Mary and the sum of their ages is 24. find their... (answered by stanbon)

Carol is three times as old as John who is ten years older than Henry. The sum of their... (answered by ikleyn,Timnewman)

Jill is twice as old as Jim. Jim is three years older than Ken .The sum of their ages is... (answered by ramkikk66)

Molly is 4 times as old as Jill. The sum of their ages is 60. What are their ages? (answered by mananth,jim_thompson5910)

Bill is 1 year less than twice as old as his brother John. If the sum of their ages is 20 (answered by Cromlix)

Ann is 3 times as old as cousin Bob. Four years from now she will be one year more than... (answered by stanbon)

Ahmad is twice as old as Bobby. John is 7 years younger than Ahmad. If the sum of... (answered by checkley79)

if matt is 3 years less than 4 times as old as john, and the sum of both of their ages... (answered by barai)