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RUDIKE [14]
3 years ago
9

Five times the sum of the digits of a two-digit number is 13 less than the original number. If you reverse the digits in the two

-digit number, four times the sum of its two digits is 21 less than the reversed two-digit number. (Hint: You can use variables to represent the digits of a number. If a two-digit number has the digit x in tens place and y in one’s place, the number will be 10x + y. Reversing the order of the digits will change their place value and the reversed number will 10y + x.) The difference of the original two-digit number and the number with reversed digits is .
Mathematics
1 answer:
In-s [12.5K]3 years ago
4 0
Let the original 2-digit number be xy.
Because 5 times the sum of the digits is 13 less than the number, therefore
5(x + y) = 10x + y - 13 
5x + 5y = 10x + y - 13
-5x + 4y = - 13             (1)

The number with reversed digits is yx.
Because 4 times the sum of the digits is 21 less than the reversed 2-digit number, therefore
4(x + y) = 10y + x - 21
4x + 4y = 10y + x - 21
3x - 6y = -21
x - 2y = -7
x = 2y - 7                 (2)

Substitute (2) into (1).
-5(2y - 7) + 4y = -13
-10y + 35 + 4y = -13
-6y = -48
y = 8

From (3), obtain
x = 2*8 - 7 = 9

Answers:
The original 2-digit number is 98
The reversed 2-digit number is 89
The difference between the original and the reversed 2-digit numbers is
98 - 89 = 9
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Which is the solution set of the compound inequality 3.5x - 10 > -3 and 8x - 9 < 39
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HACTEHA [7]
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3 years ago
Read 2 more answers
Help pls thanks guys
steposvetlana [31]

Answer:

-2.4

Step-by-step explanation:

Let the unknown number be x.

-3.7 = -1.3(1) + x

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x = -3.7 + 1.3

x = -2.4

6 0
2 years ago
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patriot [66]
A) m=-3
B) n=-17
hope this helps x
would love to have brainliest if it is right :)
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7x+17=7x-17 is this an identity, conditional or inconsistent equation
miv72 [106K]
7x + 17 = 7x - 17
7x + 17 - 7x = 7x - 17 - 7x
17 = -17

Inconsistent: for no value of x is the above equation true. 17 ≠ -17.

Hope this helps! :)
7 0
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