Question

if 8A5146B is divisible by 88, then what is the value of (A+B)?

Answer 1

Answer:

7

Step-by-step explanation:

A number is divisible by 88, if it is divisible by both 8 and 11.

A number is divisible by 8 if the numbers formed by the last three digits is divisible by 8.

i.e. if 46B is divisible by 8.

464 is divisible by 8.

So, B = 4.

The divisibility rule of 11 states that we must subtract and then add the digits in an alternating pattern from left to right; if the answer is 0 or 11 then the result is divisible by 11.

i.e (4 + 4 + 5 + 8) - (6 + 1 + A) = 11

⇒ 21 - (7 + A) = 11

⇒ 21 - 7 - A = 11

⇒ 14 - A = 11

⇒ A = 14 - 11

⇒ A = 3

A + B = 4 + 3 = 7

∴ A + B = 7