the sum of the digits in a two-digit number of s 8.The value of the number is 4 less than 5 times the ones digits.find the number.​

Respuesta :

Answer:

26

Step-by-step explanation:

The ones digit is x. The tens digit is y.

"the sum of the digits in a two-digit number is 8"

x + y = 8

"The value of the number is 4 less than 5 times the ones digits.find the number.​"

10y + x = 5x - 4

Solve x + y = 8 for y:

y = 8 - x

Substitute in the second equation:

10(8 - x) + x = 5x - 4

80 - 10x + x = 5x - 4

-14x = -84

x = 6

x + y = 8

6 + y = 8

y = 2

The number is 26.

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