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Sagot :
Answer:
- 414
Step-by-step explanation:
Let the number be aba as it is a palindrome
It divisible by 18, so it is an even number with sum of digits divisible to 9
- 2a + b = 9k
It is one less than a multiple of 5:
- aba = 100a + 10b + a = 101a + 10b
Multiple of 5 will end with 0 or 5, it has to be 5 as a is even, then:
- a = 5 - 1 = 4
The number 4b4 is divisible by 9 only if b = 1:
- 2*4 + b = 9k ⇒ b = 1
So the number is:
- 414
Lets verify:
- 414/18 = 23
- 414 + 1 = 415- divisible by 5
- 414 - is palindrome
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