Question

find the sum of the digits of the largest 3 digit number which will give remainders of 3 and 5 when divided by 5 and 7 respectively option 18,24,20,22​

Answer 1

Answer:

how to get a great day and the same to you to come over and we will be there at that time and effort you have to be to get the right one is a good.

Step-by-step explanation:

how long to get back to get the same to you and yours too the boys are doing well and that you are not in gus

Answer 2

Answer:

Number is 978.

Step-by-step explanation:

Largest three digit number is $999$.

L.C.M of 5 and 7 $=35$

The least number when divided by 5 and 7 that leaves remainder3 and 5 respectively.

$5x+3=7y+5$

By trial and error method, the value of x and y is:

$x=6$ and $y=4$

So, number is $5x+3=7y+5=33$

So, the next consecutive number which leaves remainder 3 and 5 will be  of form "K(LCM of 5 and 7) + constant", where Constant is the remainder.

$35k+33$

But $35K+33 < 999$

$35K < 966\\K < \frac{966}{35} \\K < 27$

Hence, the number is

$35K+33=35(27)+33\\=978$

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