SOLUTION: . The sum of two numbers is 15. If twice the first number is added to thrice the second number their sum would be 35. What are the numbers?

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Question 1178319: . The sum of two numbers is 15. If twice the first number is added to thrice the second
number their sum would be 35. What are the numbers?
Found 2 solutions by josgarithmetic, Veektor:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Numbers as n and 15-n.

2n%2B3%2815-n%29=35------------the second part of the description.
--
2n%2B45-3n=35
-n=35-45
n=45-35
highlight%28n=10%29
and the other number is highlight%285%29.

Answer by Veektor(1) About Me  (Show Source):
You can put this solution on YOUR website!
say a+b= 15
Then the sum of twice the first and thrice the second is 35
So, 2a+3b= 35
We have;
a+b=15 ---i
2a+3b=35 ---ii
Then a=15-b ---iii
Input a into eqn ii
2(15-b)+3b= 35
30-2b+3b= 35
Collect like terms
-2b+3b=35-30
b=5.
Input b into eqn i
a+5=15
a=15-5
a=10. a=10, b=5.