Question 257909
If 100 is divided by the positive integer x, the remainder is 2.
 What is the remainder when 198 is divided by x?
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The positive integer: {{{((100-2))/x}}} = 98/x
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"What is the remainder when 198 is divided by x?
Let r = the remainder, divide 198 by 2x
{{{(198-r)/(2x)}}} = {{{98/x}}}
Cross multiply
x(198-r) = 2x(98)
x(198-r) = 196x
Divide both sides by x
198 - r = 196
198 - 196 = r
r = 2 is the remainder when 198 is divided by x
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