A number, when divided by 114, leaves remainder 21. If the same number is divided by 19, then the remainder will be
Let the given number be x
Let a be the quotient when x is divided by 114
So $$\frac{x}{114}$$ = a$$\frac{21}{114}$$
so x = 114a + 21
when x is divided by 19 it can be written as
$$\frac{x}{19} = \frac{114a + 21}{19}$$
114 is divisible by 19 and 21 leaves a remainder of 2.
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