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PilotLPTM [1.2K]
3 years ago
12

the sum of the digits of a certain two-digits number is 7.Reversing its digits increases the number by 9.What is the number

Mathematics
2 answers:
rusak2 [61]3 years ago
8 0
Unit digit=y
tens digit=x
the number: 10x+y

We suggest this system of equations:
x+y=7
(10y+x)=(10x+y)+9
we solve it by substitution method.
x=7-y
10y+(7-y)=(10(7-y)+y)+9
9y+7=70-10y+y+9
9y+10y-y=70+9-7
18y=72
y=72/18=4

x=7-y
x=7-4=3

number=10x+y=10*3+4=30+4=34

solution: the number: 34

To check:
3+4=7
43=34+9
dimaraw [331]3 years ago
7 0
The answer is 34. 3+4=7. 43-34=9. I hope this helps.
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Step-by-step explanation:

Let x represent the number of miles that she ran on the second day.

The first day, she ran 1.37 km more than she ran on the second day. This means that the distance that she ran on the first day is

x + 1.37

On the third day, she ran 0.98 km more than the second day. This means that the distance that she ran on the third day is

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The total distance that she wants to run in 3 days is 10km. This means that

x + 1.37 + x + x + 0.98 = 10

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3x = 10 - 2.35

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The distance that she ran on the third day is

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IgorLugansk [536]

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Vaselesa [24]

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Step-by-step explanation:

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Answer:

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