1.

In a three-digit number, the hundreds digit is three times the tens digit. The tens digit is three times the ones digit. If the sum of the digits is thirteen, find the number...

Answer»

Answer:

The number is 931

Step-by-step explanation:

Let,

The tens digit is three times the ones digit

  • Tens digit = 3x

The hundreds digit is three times the tens digit.

  • Hundreds digit = 3x (3) = 9x

The sum of the DIGITS is thirteen

★ According to the Question :

The sum of the digits = 13

⇒ x + 3x + 3x (3) = 13

⇒ x + 3x + 9x = 13

⇒ 4X + 9x = 13

⇒ 13x = 13

⇒ x = 13 /13

⇒ x = 1

Ones digit = 1

• Tens digit = 3x

⇒ 3x

⇒ 3 × 1

⇒ 3

Tens digit = 3

• Hundreds digit = 3x (3) = 9x

⇒ 3x (3) = 9x

⇒ 3 × 3 or 9 × 1

⇒ 9

Hundreds digit = 9

The number = 931

Therefore, the number is 931.


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