SOLUTION: If 2/5 of a number exceeds 1/7 of the same number by 36. Find the number.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: If 2/5 of a number exceeds 1/7 of the same number by 36. Find the number.       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 762822: If 2/5 of a number exceeds 1/7 of the same number by 36.
Find the number.
Found 2 solutions by lwsshak3, josmiceli:
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
If 2/5 of a number exceeds 1/7 of the same number by 36.
Find the number.
***
let x=number
2x%2F5=x%2F7%2B36
LCD:35
14x=5x+126
9x=126
x=140

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the number = +n+
given:
+%28+2%2F5+%29%2An+=+%28+1%2F7+%29%2An+%2B+36+
Subtract +%28+1%2F7+%29%2An+ from both sides
+%28+2%2F5+%29%2An+-+%28+1%2F7+%29%2An+=+36+
Multiply both sides by +35+
+35%2A%28+2%2F5+%29%2An+-+35%2A%28+1%2F7+%29%2An+=+35%2A36+
+14n+-+5n+=+1260+
+9n+=+1260+
+n+=+140+
--------------
check answer:
+2%2F5+=+.4+
+1%2F7+=+.14286+
+%28+2%2F5+%29%2An+=+%28+1%2F7+%29%2An+%2B+36+
+.4%2A140++=+.14286%2A140+%2B+36+
+56+=+20.0004+%2B+36+
+56+=+56.0004+
OK -error due to rounding off