Question

If we divide a number by 5 we get a remainder 4 and if we divide the number by 4 we get a remainder 3, what is the least possible natural value for the number

Answer 1

Let the number=x

The number when divided by 6 gives remainder 5, when divide by 5 gives remainder 4 and when divided by 4 gives remainder 3, means that in each case remainder is 1 less than the divisor,If we add 1 in the assuming number(x) then x+1 will completly divide by 6 ,5 and 4 . It is clear that:-

(x+1)=LCM of 6 , 5 and 4

(x+1)=60

x=60–1= 59 , Answer.

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