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.
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.