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GMAT Problem Solving (PS) | Re: When positive integer x is divided by positive integer y, the quotient

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Bunuel wrote:

When positive integer x is divided by positive integer y, the quotient is 17 and the remainder is 3. When x is divided by (y−3), the quotient is 24 and the remainder is 5. What is the value of x?

A. 169
B. 173
C. 180
D. 204
E. 211


We are given that when positive integer x is divided by positive integer y, the quotient is 17 and the remainder is 3. Thus:

x/y = 17 + 3/y

x = 17y + 3

We are also given that when x is divided by (y−3), the quotient is 24 and the remainder is 5. Thus:

x/(y-3)
...

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