In a 3-digit number, the tens digit is thrice the units digit and the hundreds digit is four times the units digit. Also, the sum of its digits is 16. Find the number.

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Solution

Let the units place digit be x.
Then, the tens place digit will be 3x and the hundreds place digit will be 4x.

Given:
4x + 3x + x = 16
or 8x = 16
or x =2
Units place digit = 2
Tens place digit = 3 $\times$ 2 = 6
Hundreds place digit = 4 $\times$ 2 = 8

Therefore, the number is 862.

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In a 3-digit number, the tens digit is thrice the units digit and the hundreds digit is four times the units digit. Also, the sum of its digits is 16. Find the number.

Let the units place digit be x. Then, the tens place digit will be 3x and the hundreds place digit will be 4x. Given: 4x + 3x + x = 16 or 8x = 16 or x =2 Units place digit = 2 Tens place digit = 3 × 2 = 6 Hundreds place digit = 4 × 2 = 8 Therefore, the number is 862.

Let the units place digit be x.
Then, the tens place digit will be 3x and the hundreds place digit will be 4x.

Given:
4x + 3x + x = 16
or 8x = 16
or x =2
Units place digit = 2
Tens place digit = 3 $\times$ 2 = 6
Hundreds place digit = 4 $\times$ 2 = 8

Therefore, the number is 862.