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zysi [14]
2 years ago
13

The units’ digit of a two-digit number is 7 more than the tens’ digit. If 26 is added to the number, the result obtained is five

times the sum of the digits. Find the number.
Mathematics
1 answer:
Vikki [24]2 years ago
3 0
Let the digit in the tens place be x

tens place = x (therefore the value is 10x)
ones place = x + 7
The number is 10x + x + 7

Add 26 to it
10x + x + 7 + 26 = 11x + 33

It is 5 times the sum of the digit
11x + 33  = 5(x + x + 7)
11x 33 = 10x + 35
x = 2
x+ 7 = 2 + 7 = 9

So the number is 29

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Read 2 more answers
5x^2=11x-2 quadratic equation
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Given data:

The given equation is 5x^2= -11x-2.

The given equation can be written as,

\begin{gathered} 5x^2=-11x-2 \\ 5x^2+11x+2=0^{} \\ 5x^2+10x+x+2^{} \\ 5x(x+2)+1(x+2)=0 \\ (5x+1)(x+2)=0 \\ x=-\frac{1}{5},\text{ x=-2} \end{gathered}

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4 0
1 year ago
Tim (the tallest) is older than Michael (the lightest). Jason (the oldest) is shorter than Nick (the heaviest). No one has the s
gayaneshka [121]

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Answer:

  • Age (decreasing): Jason, Tim, Michael, Nick
  • Height: (decreasing): Tim, Michael, Nick, Jason
  • Weight: (decreasing): Nick, Jason, Tim, Michael

Step-by-step explanation:

The given tallest, oldest, lightest, and heaviest are easy to fill in.

Michael is already 4th in weight, so cannot be 1st or 4th in age. If Tim is older, then the age rank must be Jason, Tim, Michael, Nick.

Michael cannot be 1st, 3rd, or 4th in height, so must be second. If Jason is shorter than Nick, then the 3rd and 4th in height must be Nick and Jason.

The only remaining possibilities for weight are that Tim is 3rd (cannot be 2nd), so Jason is 2nd.

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2 years ago
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