IronWithFist
contestada

a, b, and c represent three different digits. If you add up all of the six two - digit numbers that can be written with these digits, where you don't use the same digit twice in each number, then the sum will be 528. Find these digits.

Relax

Respuesta :

mhanifa

Answer:

  • 7, 8 and 9

Step-by-step explanation:

Two-digit numbers are:

  • ab, ac, ba, bc, ca, cb

Sum of them is:

  • 10a + b + 10a + c + 10b + a + 10b + c + 10c + a + 10c + b = 528
  • 22a + 22b + 22c = 528
  • a + b + c = 528/22
  • a + b + c = 24

The only option of three different digits with the sum of 24 is 7, 8 and 9

Answer:

The answer is 7, 8 and 9. The Two-digit numbers are: ab, ac, ba, bc, ca, cb

The Sum of them is: 10a + b + 10a + c + 10b + a + 10b + c + 10c + a + 10c + b = 528

22a + 22b + 22c = 528

a + b + c = 528/22

a + b + c = 24      The only option/options of the three different digits with the sum of 24 is 7, 8 and 9.

Hope this helps, stay safe, and merry christmas!

Otras preguntas