SOLUTION: Pleas help me~ The sum of two numbers is 21. Find both numbers if twice the smaller number is 3 more than the larger number. Thank you.

Algebra.Com
Question 393991: Pleas help me~
The sum of two numbers is 21. Find both numbers if twice the smaller number is 3 more than the larger number.
Thank you.

Answer by pie90010(44)   (Show Source): You can put this solution on YOUR website!
Let x be one # (the smaller one)
Let y be another # (the larger one)
x + y = 21
2x = y + 3
The first equation is fine, line up the second one
2x - y = 3
x + y = 21
the Y's cancel , now add them up
3x = 24
divide both sides by 3 and
x = 8
Now to get Y just plug it in to one of the original equations
8 + y = 21
y = 13



The two numbers are 8, 13

RELATED QUESTIONS

the larger of two numbers is 1 less than 3 times the smaller number. If twice the smaller (answered by josgarithmetic)
the larger of two numbers is 1 less than 3 times the smaller number. If twice the smaller (answered by fractalier)
the larger of two numbers is 1 less than 3 times the smaller number. If twice the smaller (answered by fractalier)
Please help me solve this word problem: The larger of the two numbers is 1 less than 3... (answered by rothauserc)
One number is 10 more than another. If the sum of twice the smaller number and 3 times... (answered by queenofit)
One number seven more than another number if the sum of twice the smaller number +3... (answered by hkwu)
The Larger of two numbers is 1 more than the smaller. If the sum of the larger and twice... (answered by sebinsrit)
Sum of two numbers is 66.the larger number is three more than twice the smaller number.... (answered by Cromlix)
The sum of two numbers is 21. Three times the smaller number is two less than twice the... (answered by Fombitz)