If the 7-digit number 134x58y is divisible by 72, then the value of (2x + y) is
2019
If the 7-digit number 134x58y is divisible by 72, then the value of (2x + y) is
- A.
6
- B.
7
- C.
8
- D.
9
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Correct answer: C
A number divisible by 72 must be divisible by 8 and 9. For divisibility by 8, the last three digits 58y must be divisible by 8, giving y = 4. For divisibility by 9, 1 + 3 + 4 + x + 5 + 8 + 4 = 25 + x must be divisible by 9, so x = 2. Therefore 2x + y = 4 + 4 = 8.