Question

find the largest four digit number which when divided by 4 7 and 13 leaves remainder of 3 in each case

Answer 1

So LCM ( 4,7,13) = 364

Largest 4 digit number = 9999

On dividng 9999 by 364 we get reaminder as 171

So 9999 - 171 = 9828 + 3 = 9831

Therefore 9831 is the number.

Hope this helps!!
Cheers!!

Answer 2

Hey mate here we go

The numbers are 4,7,13 which leave 3 as remainder

LCM of 4,7,13 = 364

The largest 4 digit number is 9999

so

$\frac{9999}{364} = 27.46 \\ now \: \\ 364 \times 27 = 9828 \\ remainder \: is \: 3 \: means \\ 9828 + 3 = 9831$

I hope this will helps you

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