Question

If the 8-digit number 2074x4y2 is divisible by 88, then the value of (4x + 3y) is:​

Answer 1

Answer:

45 or 41

Step-by-step explanation:

8-digit number 2074x4y2

Divisible by 88 means  

divisible by 8  & 11

Divisibility rule for 8

If the last three digits of a whole number are divisible by 8, then the entire number is divisible by 8

=> 4y2 is divisible by 8

432   &  472 are divisible by 8

=> y = 3  or 7

Divisibility rule for 11

The Divisibility Rule of Eleven is that you must subtract and then add the digits in an alternating pattern from left to right

and resultant should be divisble by 11

2 - 0 + 7 - 4 + x  - 4 + y - 2

=  x + y - 1

x + y - 1 =  11

if y = 3 then  x = 9

if y = 7  then x = 5

4x + 3y =  4 * 9 + 3 * 3 = 45

4x + 3y = 4*5 + 3*7 = 41