the sum of the digits of a three digit number is 10 the tens digit in three times the hundred digit and the ones digit is reversed the number is increased by 495 find the number
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Let hundred 's digit is a, team's digit is b and unit's digit is c.
a+b+c=12 ………(1)
The number is 100a+10b+c
Reversed number =100c+10b+a
100c+10b+a-495=100a+10b+c
Or, 99c-99a =495 , c-a =5…….(2)
Again another reversed number = 100a+10c+b
Or, 100a+10c+b-36=100a+10b+c
Or, 9c-9b =36, c-b =4……….(3)
From(2) a=c-5, from (3) b=c-4
From(1) a+b+c=12,
So, c-5+c-4+c =12,→ 3c=21,→c=7
So a=c-5,→a=7–5, → a=2
And, b=c-4,→b=7–4,→ b=3.
The number is 237 ans
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Answered by
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237 is the correct answer
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