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Jabari is thinking of three numbers.The greatest number is twice as large as the least number.The middle number is three more then the least number.The sum of the three numbers is 75.Find the numbers.

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W0lf93
In this case, use variables to represent the numbers, Fortunately, they are all in terms of the smaller number. So. let.... x = small number (x+3) = middle number 2x = large number If the sum is 75, then all of the numbers added together must equal this. So...... x + (x+3) + 2x = 75 4x + 3 = 75 4x = 72 x = 18 After we find x, we can conclude that.. Smaller number = 18 Middle number = 21 Large number = 36
MrRoyal

The relationship between the three numbers is represented by an equation. The numbers are 18, 21 and 36

Let the three numbers in ascending order be x, y and z.

So:

[tex]z = 2x[/tex]

[tex]y = 3 + x[/tex]

[tex]x + y + z = 75[/tex]

Substitute values for y and z in [tex]x + y + z = 75[/tex]

[tex]x + 3 +x + 2x = 75[/tex]

Collect like terms

[tex]x + x + 2x = 75 - 3[/tex]

[tex]4x = 72[/tex]

Divide both sides by 4

[tex]x = 18[/tex]

Recall that: [tex]z = 2x[/tex] and [tex]y = 3 + x[/tex]

[tex]z = 2\times 18[/tex]

[tex]z = 36[/tex]

[tex]y = 3 + 18[/tex]

[tex]y = 21[/tex]

Hence, the numbers are 18, 21 and 36

Read more about equations at:

brainly.com/question/9585437

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