Question

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 to the sum of the other two. Find the number.

Answer 1

Step-by-step explanation:

let the units digit be x

therefore hundreds digit is 2x

therefore tens digit is x+2x=3x

according to the question

x+2x+3x=6

or,6x=6

or,x=6/6

or,x=1

the units digit is 1

the tens digit is 3×1=3

the hundreds digit is 2×1=2

therefore the number is 2×100+3×10+1=231

Answer 2

Answer:

The number is 231.

Step-by-step explanation:

Let's consider

Unit digit = x

Hundred digit = 2x

Tens digit = x + 2x

= 3x

According to Question :

The sum of three digit numbers = 6

➨ x + 2x + 3x = 6

➨3x + 3x = 6

➨ 6x = 6

➨ x = 6/6

➨ x = 1

★ Hundred's digit -

➨ Twice the units digit = 2x

➨ 2(1)

➨ 2

★ Tens digit -

➨ Sum of Hundred's and unit's digit

➨ 2 + 1

➨ 3

★ The number -

• Units digit = 1
• Tens digit = 3
• Hundreds digit = 2

➨ 100(2) + 10(3) + 1

➨ 200 + 30 + 1

➨ 231

Therefore, the number is 231.