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Write a mathematical model for the problem and solve it.
The sum of two consecutive natural numbers is 575. Find the numbers. (Enter your answers as a comma-separated list.)

User Sattar
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2 Answers

21 votes
21 votes

Answer:

Explanation:

To find the two consecutive natural numbers whose sum is 575, we can set up the following equation:

x + (x+1) = 575

where x and x+1 are the two consecutive natural numbers.

We can solve this equation by combining like terms:

2x + 1 = 575

Subtracting 1 from both sides, we get:

2x = 574

Dividing both sides by 2, we get:

x = 287

Therefore, the two consecutive natural numbers are 287 and 288. Our final answer is 287, 288.

User Jackfrankland
by
2.8k points
18 votes
18 votes

Answer:

287,288

Explanation:

Question

The sum of two consecutive natural numbers is 575. Find the numbers

soln

x +( x + 1) = 575

x + x + 1 = 575

2x + 1 = 575

2x = 575 – 1

2x = 574


(2x)/(2) = (574)/(2)

x = 287

since we got x as 287, lets solve(x+1)

by substituting

287 + 1 = 288

hence the consecutive numbers are 287,288

Check

287 + 288 = 575

we are correct.

i hope this helps

User NineCattoRules
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3.4k points