SOLUTION: If one-half a number is subtracted from five-sixths of the number, the difference is 6. Find the number.
Help. Thank you.
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Question 29907: If one-half a number is subtracted from five-sixths of the number, the difference is 6. Find the number.
Help. Thank you.
Found 3 solutions by Cintchr, Earlsdon, sdmmadam@yahoo.com:
Answer by Cintchr(481) (Show Source): You can put this solution on YOUR website!
one-half a number
five-sixths of the number
make all fractions have a common denom of 6
since all denoms are 6 and it is an equation, drop the denom.
combine like terms
divide by 2
Plug back in to check
reduce the fractions
YES!!!
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let n = the number.
Simplify.
Multiply both sides by 3.
Answer by sdmmadam@yahoo.com(530) (Show Source): You can put this solution on YOUR website!
If one-half a number is subtracted from five-sixths of the number, the difference is 6. Find the number.
Let the number be N
one-half a number subtracted from five-sixths of the number,
the difference is 6.
(1/2) of N subtracted from (5/6) of N, the difference is 6
That is (5/6)N - (1/2)N = 6 ----(1)
That is [5/6-1/2]N = 6
Multiplying by 6 through out
(5-3)N= 36
2N = 36
N = 36/2 = 18
Answer:The required number is 18
Verification:N =18 in (1) gives LHS = (5/6)X18 - (1/2)X18 = 15-9 =6 =RHS
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