SOLUTION: Maria is 10 years older than Zohar. The sum of their ages 23. Which equation would represent this scenario?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Maria is 10 years older than Zohar. The sum of their ages 23. Which equation would represent this scenario?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1158877: Maria is 10 years older than Zohar. The sum of their ages 23. Which equation would represent this scenario?
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!


There are two equations, but they can be collapsed into one (and solved!):

M = Z + 10  

M + Z = 23



(Z+10)+Z = 23   <<< this equation represents the stated problem, with one unknown

2Z = 13         <<< simplified

Z = 13/2 = 6 1/2   <<< solved (it is very unusual for age problems to have fractional answers)



Since Zohar is 6 1/2, Maria must be 16 1/2.