SOLUTION: The sum of two numbers is 35. The smaller number is 5 less than the larger number. What are the numbers?

Question 1078260: The sum of two numbers is 35. The smaller number is 5 less than the larger number. What are the numbers?
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The sum of two numbers is 35. The smaller number is 5 less than the larger number. What are the numbers?
============
x + y = 35
x - y = 5

Answer by ikleyn(52810) (Show Source): You can put this solution on YOUR website!
.
Hey,
you can solve it mentally, very easy.

Diminish the larger number by 5 units (mentally).

Then you will have two equal numbers whose sum is 30.

Hence . . . what?

The smaller number is 30/2 = 15. The larger number is 15+5 = 20.

That's all.

There is no need to use any equations.

RELATED QUESTIONS
The sum of two numbers is 61 . The smaller number is 23 less than the larger number. What (answered by Solver92311)
the larger of two numbers is 5 less than twice the smaller number. the sum of the two... (answered by nyc_function)
the sum of two numbers is 56. the smaller is 8 less than the larger number. what are the... (answered by rothauserc)
the sum of two numbers is 105. the smaller number is 5 less than the larger number. find... (answered by algebrahouse.com)
The larger of two numbers is 14 less than four times the smaller number. The sum of the... (answered by dfrazzetto,mananth)
the larger of two number is 10 less than twice the smaller number. The sum of the two... (answered by macston)
The sum of two numbers is 35 the larger number is 21 more than the smaller number what... (answered by Alan3354)
The sum of two numbers is 82. The larger number is 17 less than twice the smaller number. (answered by ankor@dixie-net.com)
the sum of two numbers is 64 the smaller number is 12 less than the larger number. What... (answered by robertb)