SOLUTION: If one fourth of a certain number is added to one fifth of the same number, the result equals the sum of 13 and one eighth of the number. Find the number.

Algebra.Com
Question 111381: If one fourth of a certain number is added to one fifth of the same number, the result equals the sum of 13 and one eighth of the number. Find the number.
Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
let x be the number.
x/4 + x/5 = 13 + x/8
10x+8x=520+5x Multiply 40 by both sides to eliminate fractions.
18x-5x=520+5x-5x
13x=520
13x/13=520/13
x=40
Always check:
40/4 + 40/5 = 13 + 40/8 true
Ed

RELATED QUESTIONS

2x = 8 A. The square of a certain number equals 8. B. A certain number divided by... (answered by Charles3475)
1.if 3 1/5 is added to 3/4 of a number, the result is 7 1/2. Find the number. 2.Three... (answered by ewatrrr)
A​ number, one fifth of that​ number, and one fourth of that number are added. The... (answered by Alan3354,greenestamps)
if one fourth of a number is added to one fifth of the same number and the answer is... (answered by josgarithmetic)
if one half of a certain number is added to one third of the same number, the result is... (answered by rfer,solver91311)
a number one third of that number and one fourth of that number are added. the result is... (answered by mananth)
If two thirds of a certain number is added to one number half of the number, the result... (answered by Alan3354)
when two-thirds of a number is added to one-fourth of the same number, the result is 8... (answered by Mathtut)
When two-thirds of a number is added to one-fourth of the same number, the result is 8... (answered by KnightOwlTutor)