Question

If 26xy1 is divisible by 11 and x+y=11, then which of the following is true a)x=3,y=8 b)x=7,y=4 c)x=6,y=5 d)x=4,y=7 please please answer the question ​

Answer 1

Step-by-step explanation:

573 xy is divisible by 90 i.e. (9 x 10)

⇒ 573 xy is divisible by both 9 and 10

⇒ y = 0 as a number is divisible by 10 if its ones' digit =0

Also sum of digits = 5 + 7 + 3 + x + 0 = 15 + x

For divisibility by 9, 15 + x = 18 ⇒ x = 3

∴ x + y = 3 + 0 = 3

it's an example