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The sum of three digits is six.the hundreds digit is twice the units digit,and the tens digit is equal to the other two.find the number.

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Answer:

The sum of the digits of a three-digit number is 6. The hundreds digit is twice the units digit,

and the tens digit equals the sum of the other two. Find the number.

Let the digits be x , y ,z

x hundred's place

y ten's place

z unit's place

The number will be XYZ

The sum of the digits of a three-digit number is 6

x+y+z=6

The hundreds digit is twice the units digit,

x = 2z

the tens digit equals the sum of the other two

y=x+Z

x+y+z=6 ( substitute y)

x+x+z+z =6

2x+2z=6

But x =2z ( substitute x=2z)

2(2z)+2z=6

6z=6

z=1

x=2z

x= 2*1 =2

Y=x+z

y = 1+2 =3

The number is 231

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