Question

if the eight digit number 342×8y6 is divisible by 72,then what is the value of √9×+y, for the largest value of y ?​

Answer 1

Answer:

If the eight digit number 342x18y6 is divisible by 72, then what is the value of root over 9x+y, for the largest value of y?

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72=8×9

If it is to be divisible by 8, the number formed by the last 3 digits ,namely 8y6 must be divisible by 8 .. they are

816,856,896. \implies y cane be 1,5,9.

the largest value is 9 . So y=9

342x1896

For divisibility by 9 the sum of digits must be divisible by 9.

sum of digits =33+x

x=3 makes it divisible by 9

x=3

9x+y−−−−−√=36−−√=6