SOLUTION: Maria’s age is 4 more than two times Juan’s age. Three years ago, the sum of Maria and Juan’s ages was 10. How old is Maria now? I am confused on the problem due to the la

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Maria’s age is 4 more than two times Juan’s age. Three years ago, the sum of Maria and Juan’s ages was 10. How old is Maria now? I am confused on the problem due to the la      Log On

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Question 1158169: Maria’s age is 4 more than two times Juan’s age. Three years ago, the sum of Maria and Juan’s ages was 10. How old is Maria now?
I am confused on the problem due to the lack of understanding of this kind of problem. I would appreciate any help!

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let Juan's age = +x+
Maria's age = +2x+%2B+4+
+x+-+3+ = Juan's age 3 yrs ago
+2x+%2B+4+-+3+ = Maria's age 3 yrs ago
-----------------------------------------------
given:
+%28+x+-+3+%29+%2B+%28+2x+%2B+4+-+3+%29+=+10+
+3x+%2B+4+-+6+=+10+
+3x+-+2+=+10+
+3x+=+12+
+x+=+4+
and
+2x+%2B+4+=+2%2A4+%2B+4+
+2x+%2B+4+=+12+
Maria is 12 now
----------------------
check:
+%28+x+-+3+%29+%2B+%28+2x+%2B+4+-+3+%29+=+10+
+%28+4+-+3+%29+%2B+%28+2%2A4+%2B+4+-+3+%29+=+10+
+1+%2B+%28+8+%2B+1+%29+=+10+
+1+%2B+9+=+10+
+10+=+10+
OK