SOLUTION: One number is 5 greater tan another number, If twice the smaller number is added to the larger one, the result is 26. Finf the two numbers,

Question 966994: One number is 5 greater tan another number, If twice the smaller number is added to the larger one, the result is 26. Finf the two numbers,
Answer by rm29924(97) (Show Source): You can put this solution on YOUR website!
Let's use x and y for our 2 numbers
one is 5 greater than the other so
x = y + 5
we know y is the smaller number since x is 5 greater
twice the smaller number will be 2y
2y + x = 26
substitute y + 5 into the equation for x
2y + y + 5 = 26
combine like terms
3y + 5 = 26
subtract 5 from both sides
3y = 21
divide 3 from both sides to get the variable y by itself
y = 7
plug 7 into x = y + 5 for y
x = 7 + 5
x = 12
answer: the two numbers are 7 and 12

RELATED QUESTIONS
One number is 5 greater than another number. If the smaller number is added to twice the... (answered by sachi)

One number is 7 more than another, if twice the larger is added to 8,the result is 5 less (answered by ankor@dixie-net.com)

One number is 4 greater than another number. When three times the smaller number is added (answered by stanbon)

One number is 3 less than another number. If one-fifth of the larger number is added to... (answered by lwsshak3)

One number is twice another number. If the 12 subtracted from the larger number the... (answered by stanbon,Superownage,chitra,JoelSchwartz)

One number is 2 larger than another number. If two times the larger number is added to... (answered by edjones)

One number is twice another number. If the 12 is subtracted from the larger number the... (answered by tommyt3rd)

one number is twice another number. If the larger is diminished by ten the result is two... (answered by oberobic)

one number exceeds another number by 6. Write these two numbers in terms of x. When twice (answered by macston)