SOLUTION: A number is doubled, and then seven is added. When the result is divided by forty, the quotient is two and the remainder is thirty-three. Find the original number.

Algebra.Com
Question 972462: A number is doubled, and then seven is added. When the result is divided by forty, the quotient is two and the remainder is thirty-three. Find the original number.
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
A number
That's N
is doubled,
That's 2N
and then seven is added.
That's 2N + 7
When the result is divided by forty,
That's 
the quotient is two and the remainder is thirty-three.
That says 

That's because you put the remainder over the divisor 
when you finish dividing. The divisor is 40 because that's
what we divided by.

We change the mixed number to an improper fraction 

Now we have this equation:



We multiply both sides by 40, and get: 

2N + 7 = 113

We subtract 7 from both sides:

    2N = 106

We divide both sides by 2

    N = 53

-------

Now we check
A number
That's 53
is doubled,
That's 106
and then seven is added.
That's 106 + 7 = 113
When the result is divided by forty,
That's this division

     2
40)113
    80
    33
the quotient is two and the remainder is thirty-three.
It checks.

Edwin

RELATED QUESTIONS

A number is doubled, and then seven is added. When the result is divided by forty, the... (answered by stanbon)
a number is divided by 3 and then the quotient is added to 18 the result is... (answered by jim_thompson5910)
A number is divided by 2, and then the quotient is added to 8. The reault is 33. Find the (answered by farohw)
When five is subtracted from four times a certain number the remainder is divided by... (answered by josgarithmetic)
A number is doubled and then increased by seven. The result is 93. What is the original... (answered by Stitch)
A number is divided by 6. Then, 3 is added to the quotient, and the result is 5. What is... (answered by fractalier)
a number is divided by 4, and then 5 is added to the quotient. the result is 11. find the (answered by TimothyLamb)
The difference of two numbers is seventy-two, and if the larger number is divided by the... (answered by MathLover1,stanbon)
When a number is doubled and then added to 3, the new result is equal to 15 decreased by... (answered by ikleyn)