SOLUTION: there are two numbers whose sum is 53. three times the smaller number is equal to 19 more than the larger number. what are the numbers?

Algebra.Com
Question 654935: there are two numbers whose sum is 53. three times the smaller number is equal to 19 more than the larger number. what are the numbers?
Answer by checkley79(3341)   (Show Source): You can put this solution on YOUR website!
X+Y=53
3X=Y+19
OR:
Y=3X-19
X+3X-19=53
4X=53+19
4X=72
X=72/4
X=18 ANS FOR THE SKALLER NUMBER.
Y=3*18-19
Y=54-19
Y=35 ANS FOR THE LARGER NUMBER.
PROOF:
35+18=53

RELATED QUESTIONS

there are two numbers whose sum is 53. three times the smaller number is equal to 19 more (answered by mananth)
The sum of two numbers is 53. Three times the smaller number is equal to 19 more than the (answered by JBarnum)
Two numbers have the sum of 18. The larger number is equal to 3 more than two times the... (answered by rfer)
The sum of two numbers is 14. The larger number is two more than three times the smaller... (answered by John10)
Two numbers sum to 32. Six times the smaller number is equal to twice the larger. What... (answered by TutorDelphia)
The sum of two numbers is 10. Three times the smaller number is equal to twice the larger (answered by scott8148)
what are three consecutive odd integers whose sum is equal to five more than two times... (answered by algebrahouse.com)
a number is two times as large as another number. Three times the smaller number is... (answered by josmiceli)
the sum of two numbers is 135. one-fourth the larger number is equal to two times the... (answered by ewatrrr)