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The first number is 90, the one(second) number is 630, and the third number is 190.

Word problems leading to the algebraic equation:

Word problems in mathematics are words written with a mathematical approach and it requires the use of the student's understanding of various mathematical concepts to arrive at a probable solution to the word problems. Word problems are used in mathematics to solve our daily life challenges.

From the given information, given that:

  • Let the first number be x
  • One(second) number is 7 times the first number. Let that number be [tex]y = 7x[/tex]
  • A third number is 100 more than the first number i.e [tex]z = 100 + x[/tex]

The sum of these three numbers is 910. i.e.

x+ y + z = 910

It implies that:

x + 7x + 100 + x  910

9x + 100 = 910

9x = 900 - 100

9x = 810

x = 90

y = 7(90) = 630

z = 100 + 90 = 190

Learn more about word problems in mathematics here:

https://brainly.com/question/13818690

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