Question

In a three-digit number, the hundreds digit is one half of the tens digit. The tens digit is twice the ones digit. If the sum of the digits is eight, find the number.

Answer 1

Answer:

The number is 242

Step-by-step explanation:

Let one's digit be x

So ten's digit = 2x

and Hundread's digit = (1/2) of 2x = x

Now, Sum of the digits = 8

So, x + 2x + x = 8

4x = 8

x = 2

Hence, Hundread's digit = 2

Ten's digit = 4

One's digit = 2

The number is 242

Answer 2

Answer:

The number is 242.

Step-by-step explanation:

Let,

• Ones digit = x

The Tens digit is twice the Ones digit. (Given)

• Tens digit = 2x

The Hundreds digit is one half of the tens digit. (Given)

• Hundred digit = 1/2 of 2x

The sum of the digits is eight

★ According to the Question :

• The sum of the digits = 8
• Ones digit = x
• Tens digit = 2x
• Hundred digit = 1/2 of 2x

⇒ (1/2 of 2x) + 2x + x = 8

⇒ x + 2x + x = 8

⇒ 3x + x = 8

⇒ 4x = 8

⇒ x = 8/4

⇒ x = 2

Ones digit = 2

• Tens digit = 2x

⇒ 2x

⇒ 2 × 2

⇒ 4

Tens digit = 4

• Hundred digit = 1/2 of 2x

⇒ 1/2 of 2x

⇒ 1/2 of 4

⇒ 2

Hundred digit = 2

The number = 242

Therefore, The number is 242.