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shusha [124]
3 years ago
10

In a two-digit number, the units digit is 5 more than the tens digit. The number is 6 less than 4 times the sum of the digits. F

ind the number.
Mathematics
1 answer:
KonstantinChe [14]3 years ago
8 0

Answer:

Tens digit, x = 3

Unit digit, y = 8

Number = 38

Step-by-step explanation:

Let the 2 digit number = xy

y = x + 5 - - - (1)

10x + y = 4(x + y) - 6

10x + x + 5 = 4(x + x + 5) - 6

11x + 5 = 4(2x + 5) - 6

11x + 5 = 8x + 20 - 6

11x + 5 = 8x + 14

11x - 8x = 14 - 5

3x = 9

x = 9/3

x = 3

From (1)

y = x + 5

y = 3 + 5

y = 8

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Equation                   5x + 3x - 6 = 42

Process

Step 1. Add 6 units in both sides

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