In a three-digit number, the tens digit is the same as the hundreds digit. The ones digit of this number is equal to 1/3 of the sum of the other two digits. Find the number if the sum of all its digits is equal to 24.

The three digit number is;

996

Step-by-step explanation:

The three digit can be written xyz

ones digit is equal to 1/3 the sum of the two other digits

z = 1/3(x + y)

x + y + z = 24

Tens digit is same as hundreds digit

That means x = y

z = 1/3 (x + x) = 2x/3

So;

2x/3 + x + x = 24

Multiply through by 3

2x + 3(2x) = 72

8x = 72

x = 72/8

x = 9

x = y = 9

z = 1/3(18)

z = 6

ok then what happened.