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densk [106]
3 years ago
7

The sum of two numbers is 278. One number is 52 more than the other number. What are the two numbers

Mathematics
1 answer:
STALIN [3.7K]3 years ago
7 0

Answer:

The numbers are 165 and 113

Step-by-step explanation:

Let

x ----> one number

y ----> the other number

we know that

x+y=278 ----> equation A

x=y+52 ----> equation B

substitute equation B in equation A

(y+52)+y=278

solve for y

2y=278-52

2y=226

y=113

<em>Find the value of x</em>

x=y+52

x=113+52=165

therefore

The numbers are 165 and 113

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

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<u>Algebra II</u>

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Step-by-step explanation:

*Note:

The distance formula is derived from the Pythagorean Theorem.

<u>Step 1: Define</u>

<em>Identify</em>

Point (5, 10)

Point (10, 12)

<u>Step 2: Find distance </u><em><u>d</u></em>

  1. Substitute in points [Distance Formula]:                                                         \displaystyle d = \sqrt{(10 - 5)^2 + (12 -10)^2}
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  3. [√Radical] Evaluate exponents:                                                                       \displaystyle d = \sqrt{25 + 4}
  4. [√Radical] Add:                                                                                                  \displaystyle d = \sqrt{29}
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