3

Part of 1964 AMC 12/AHSME

Problems(1)

Quotient Remainder

Source: 1964 AHSME Problem 3

When a positive integer

x

is divided by a positive integer

y

, the quotient is

u

and the remainder is

v

u

v

are integers. What is the remainder when

x+2uy

y

?

{{ <span class='latex-bold'>(A)</span>\ 0 \qquad<span class='latex-bold'>(B)</span>\ 2u \qquad<span class='latex-bold'>(C)</span>\ 3u \qquad<span class='latex-bold'>(D)</span>\ v }\qquad<span class='latex-bold'>(E)</span>\ 2v }