Let the divisor be D, and the dividend be Q.
From the information given, we have:
Q = D(quotient) + remainder
Q = 5D + 6
Also, we know:
D - Q = 38
Substitute the value of Q from the first equation into the second equation:
D - (5D + 6) = 38
D - 5D - 6 = 38
-4D - 6 = 38
-4D = 44
D = -11
Now, substitute the value of D back into the first equation to find Q:
Q = 5(-11) + 6
Q = -55 + 6
Q = -49
So, the dividend is -49 and the divisor is -11.
Solve this in an easy way.
1) In a division statement, the quotient is 5 and the remainder is 6. The difference between the divisor and the dividend is 38. Find the values of the dividend and the divisor.
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