Question

46789x531y
is divigible by 72 then the values of
(2x + 5y) for the largest value of the x

option
28
16
10
38

PLZZ EXPLAIN IT IN DETAIL​

Answer 1

46789x531y

is divisible by 72 only if it is divisible by factors of 72 i.e. 2,4,8,9......

To make it divisible by 8 .y should be 2(check divisibility rule of 8 in explanation)

now if y is 2 sum of all digits should divisible by 9.

sum is 45+X which should be divisible by 9 so, X can be 0 or 9.

we have to find maximum value so maximum value of X is 9

THEREFORE, (2x+5y) =(2×9+5×2) = (18+10) = 28

your answer is 28.

Step-by-step explanation:

Divisibility Rule of 8

If the last three digits of a number are divisible by 8, then the number is completely divisible by 8.

Divisibility Rule of 9

That is, if the sum of digits of the number is divisible by 9, then the number itself is divisible by 9. Example: Consider 78532, as the sum of its digits (7+8+5+3+2) is 25, which is not divisible by 9, hence 78532 is not divisible by 9.

hope this helps you