Kimarianefillonidn
Answered

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1. The sum of three consecutive even numbers is 102. Find the largest number.
Given:_______
What is asked:________
Mathematical sentence:_______
Solution:______

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Sagot :

MariHani99idn

Given:

Sum = 102

What is asked:

Largest number

Mathematical sentence:

[tex]x + y + z = 102[/tex]

Let:

x = first number

y = x + 1 = 2nd number

z = x + 2 = 3rd number

Solution:

[tex]x + y + z = 102 \\ x + (x + 1) + (x + 2) = 102 \\ 3x + 3 = 102 \\ 3x = 102 - 3 \\ \frac{3x}{3} = \frac{99}{3} \\ x = 33[/tex]

The first number is 33.

Solve for the other two numbers using the value of x.

[tex]y = x + 1 \\ y= 33 + 1 \\ y = 34[/tex]

The second number is 34.

[tex]z = x + 2 \\ z = 33 + 2 \\ z= 35[/tex]

The third number is 35.

Check:

[tex]x + y + z = 102 \\ 33 + 34 + 35 = 102 \\ 102 = 102[/tex]

The three numbers are 33, 34, and 35.

The largest number is 35.

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