SOLUTION: Luke’s age is two less than twice peters age. The sum of their ages is 37 how old are they

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Luke’s age is two less than twice peters age. The sum of their ages is 37 how old are they       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1151323: Luke’s age is two less than twice peters age. The sum of their ages is 37 how old are they
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = Luke's age
Let +y+ = Peter's age
--------------------------------
(1) +x+=+2y+-+2+
(2) +x+%2B+y+=+37+
-----------------------
Substitute (1) into (2)
(2) +2y+-+2+%2B+y+=+37+
(2) +3y+=+39+
(2) +y+=+13+
and
(2) +x+%2B+y+=+37+
(2) +x+%2B+13+=+37+
(2) +x+=+24+
--------------------------
Luke is 24
Peter is 13
------------------
check:
(1) +x+=+2y+-+2+
(1) +24+=+2%2A13+-+2+
(1) +24+=+26+-+2+
(1) +24+=+24+
OK