the sum of the digit of a number consisting of three digit is 12. The middle digit is equal to half of the sum of the other two. If the order of the digit is reversed. The number is diminished by 198.Find the number.
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0
Answer:
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Answered by
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Answer:
345
Step-by-step explanation:
Let number be = 100x + 10y + z
Given:
● x + y + z = 12 ...(1)
● 100z + 10y + x = 100x + 10y + z - 198
=> 99z - 99x = 198
=> 99 ( z - x ) = 198
=> z - x = 2
● => z = x + 2 ...(2)
● y = (x + z)/2
=> y = (x + x + 2)/2
=> y = x + 1 ....(3)
(3) and (2) in (1):
=> x + y + z = 12
=> x + x + 1 + x + 2 = 12
=> 3x + 3 = 12
=> 3x = 9
=> x = 3
=> y = 4
=> z = 5
Number = 345
Hope it Helps!!
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