In a three digit number, the hundred digit is 2 more than the tens digit and the units digit is 2 less than the tens digit. If the sum of the digits is 18, find the number?
Answers
Answered by
25
Answer:
Let the number be 100H+10T+U
Hundreds: H
Tens: T
Units: U
If
H = 2T and U = 3T
Then
2T + T + 3T = 18
6T = 18
T = 18/6 = 3
Then
H = (2T) 2 x 3 = 6
And
U = (3T) = 3 x 3 = 9
Hundreds = 6, Tens = 3 and Units = 9
Hence number is 639 .... (Ans)
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Answered by
0
Number is written as : Hundreds Tens Unit
So, according to question let hundreds digit is a and tens digit is b and unit digit is c.
then, a = b + 2
c = b - 2
a + b + c = 18 {it is given} -----------------(1)
by putting values of a and c in equation (1)
b + 2 + b + b - 2 = 18
3b = 18
b = 6
Hence, a = 8
b = 6
c = 4
The number is 864.
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