Question
Solve this:
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.
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.
Answers
GPT 3.5
Let the divisor be D and the dividend be X.
According to the division statement:
X = D * 5 + 6
Given that the difference between the divisor and the dividend is 38:
D - X = 38
Substitute the first equation into the second equation:
D - (D * 5 + 6) = 38
D - 5D - 6 = 38
-4D - 6 = 38
-4D = 44
D = -11
Now, substitute the value of D back into the first equation:
X = (-11) * 5 + 6
X = -55 + 6
X = -49
Therefore, the dividend is -49 and the divisor is -11.
According to the division statement:
X = D * 5 + 6
Given that the difference between the divisor and the dividend is 38:
D - X = 38
Substitute the first equation into the second equation:
D - (D * 5 + 6) = 38
D - 5D - 6 = 38
-4D - 6 = 38
-4D = 44
D = -11
Now, substitute the value of D back into the first equation:
X = (-11) * 5 + 6
X = -55 + 6
X = -49
Therefore, the dividend is -49 and the divisor is -11.