A numberThat'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 numberThat'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