Question

If the 10 digit number 8973599722 is livisible 72, then what is the value of (3x-y), for the possible greatest value of y?​

Answer 1

Answer:

For divisible by 72, the given number should be divisible by 9 and 8 both.

For divisibility by 8

7x2 should be divisible by 8

So x will be 9,5,1.

For divisibility by 9 difference of sum of all the numbers must be a multiple of 9

= (8+9+7+3+5+9+y+7+x+2)

= 45 + 5 +y + x or 5+y+x

For x = 1,

6+y = 9

y =3

for x =5

y+5+5 = 18

y=8

for x = 9

y+9+5 = 18

y=4

So, highest possible value of y is 8 which comes at x = 5

3x – y = 15 – 8 = 7

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