SOLUTION: Dear beloved tutors, Two numbers is differ by 8. If one-half the large is added to one-fourth the smaller, the resulting some is 22. Find the numbers.

Question 1020887: Dear beloved tutors, Two numbers is differ by 8. If one-half the large is added to one-fourth the smaller, the resulting some is 22. Find the numbers.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

let numbers be and
if numbers is differ by , we have
...........eq.1 (assuming is greater number)
if one-half the large, which is is added to one-fourth the smaller, which is , the resulting some is , we have
........eq.2
go to ...........eq.1 and solve for
...substitute in eq.2
........eq.2 and solve for
.....both sides multiply by

now find

so, your numbers are: and

RELATED QUESTIONS
Two numbers differ by 8. If one half the larger is added to one fourth the smaller, the... (answered by fractalier)

If one-half of the bigger number is added to the smaller number, the result is 52. Find... (answered by KMST)

Two numbers differ by 5, and one-half of the larger exceeds one-sixth of the smaller by... (answered by sachi)

Two numbers differ by 2. Twice the smaller number is added to the larger number and the... (answered by josgarithmetic)

hI i have done this and would like to know if i am right . I took me 5 minutes to do it.... (answered by Fombitz,jim_thompson5910)

two numbers differ by 6. if x represents the smaller number, then the larger number... (answered by math-vortex)

the sum of two numbers is 31 if the smaller no. is double and the large is incresed by... (answered by JulietG)

tutor quick help plz and solution thanks so much.The sum of two numbers is 76. One-eighth (answered by Lenzky)