Question

the ones digit of a 3-digit number is three times the hundred and the tens digit is four times the hundred digit. the sum of the digits of a number is 16 find the number ?​

Answer 1

Answer Expert Verified

The ones digit of a 3-digit number is three times the hundreds digit. The tens digit is four times the hundreds digit. Now, Sum of the digits of the number is 16.

Answer 2

Step-by-step explanation:

Assume:

Let the -

Hundreds digit be "x"

Ten's digit be "y"

One's digit be "z"

\bold{\underline {\underline {Solution \::}}}

Solution:

The ones digit of a 3-digit number is three times the hundreds digit.

→ z = 3x

The tens digit is four times the hundreds digit.

→ y = 4x

Now,

Sum of the digits of the number is 16.

⇒ x + y + z = 16

⇒ x + 4x + 3x = 16 [From above]

⇒ 8x = 16

⇒ x = 16/8

⇒ x = 2

So,

→ z = 3(2)

→ z = 6

Similarly,

→ y = 4(2)

→ y = 8

From above calculations we have -

Hundred's digit = x = 2

Ten's digit = y = 8

One's digit = z = 6

So,

Number = Hundred's digit + ten's digit + one's digit

⇒ 200 + 80 + 6

⇒ 286

∴ Number is 286.