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FinnZ [79.3K]
3 years ago
8

A two digit number is such that the sum of the ones and the tens digit is ten. If the digits

Mathematics
2 answers:
Tema [17]3 years ago
8 0

Answer:

The original number is 28

Step-by-step explanation:

start by listing all possible combinations of digits that give 10 when added:

19 (1+9=10)

28 (2+8 =10)

37 (3+7=10)

46 (4+6=10)

55 (5+5=10)

Look into the order of digits reversed and what the difference with the original number gives:

1)  19  reversed is 91 then when we subtract 91 - 19 we obtain 72

2) 28 reversed is 82 hen when we subtract 82 - 28 we obtain 54 which is the combination we where trying to find.

Notice as well, that as we go down the list, the differences between reversed digit number and original become smaller (and ends being zero for the number 55), so they do not satisfy the requirement.

Therefore 28 is the answer, since 82 (the new number formed when the digits are reversed) exceeds the original number by 54.

seraphim [82]3 years ago
3 0

Answer: idk bc i just need points

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Factor 140c +28- 14a
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Drag the tiles to the correct boxes to complete the pairs.
padilas [110]

Answer:

One Solution:

-3x+y=7\\21x+4y=-8

Infinitely Many Solution:

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No Solution:

y=-4r+5\\y=-4r+1

Step-by-step explanation:

System 1

-3x+y=7\\21x+4y=-8

Eq(1)\times7+Eq(2)\\11y=41\\y=\frac{41}{11} \\\\From\ Eq\ 1\\-3x+\frac{41}{11} =7\\-3x=7-\frac{41}{11}\\-3x=\frac{36}{11}\\x=\frac{-12}{11}

Hence only one solution (-\frac{12}{11},\frac{41}{11})

System 2

31x-y=4\\61x-2y=8

Both represents the same line. Hence these have infinitely many solutions.

System 3

y=-4r+5\\y=-4r+1

Compare both the lines with y=mx+b, where m is the slope.

m=-4 for both the lines.

Hence these two lines are parallel that means there does not exists any point of intersection

So this system will not have any solution.

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