Question

if the 7 digit number 134x58y is divisible by 72 , then the value of (2x+y) is(1) 8(2) 9 (3) 6(4) 7​

Answer 1

Answer:

The answer is 8.

Explanation:

If a number divisible by 72 means, it should be divisible by 9 and 8

Apply the first condition:

1- divisible by 9:  

Sum of digits should be divisible by 9

1+3+4+x+5+8+y

= (x+y+21)%9=0  -------(1)  

Now the second condition:

2- divisible by 8:  

Last three digits should be divisible by 8

Here, 54y should be divisible by 8

Possibilities for y is 0,2,4,6,8 because end number should be an even number.

By calculating, 584 is the number divisible by 8

So the value of y is =4

put this value in equation.... (1)

(x+4+21)%9

= (x+25) %9=0

x should be positive and single-digit no.

x must be 2 satisfying above equation

x=2, y=4

So 2x+y=4+4=8