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2 years ago

The sum of three consecutive numbers is equal to 4 times the largest number minus 29. What is the smallest of the three numbers?

Mathematics

1 answer:

gulaghasi [49]2 years ago

5 0

The smallest of the three consecutive integers is 24.

<h3>How to solve algebraic word problems?</h3>

Let the 3 consecutive integers be;

x, y and z

Thus;

y = x + 1

z = x + 2

Now, we are told that their sum is equal to 4 times the largest number minus 29. Thus;

x + x + 1 + x + 2 = 4(x + 2) - 29

3x + 3 = 4x + 8 - 29

4x - 3x = 3 + 21

x = 24

Thus, we can conclude that the smallest of the three consecutive integers is 24.

Read more about algebra word problems at; brainly.com/question/13818690

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I need help!! I'll report if wrong

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Answer:

Step-by-step explanation:

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How to convert a fraction into a mixed number in lowest terms?

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Answer:

Available information is not sufficient to solve the questions

Step-by-step explanation:

Let Cm = Computers Ordered by Company M

Let Cn = Computers Ordered by Company N

Let Pm = Printers Ordered by Company M

Let Pn = Printers Ordered by Company N

Cm + Pm = 50 --- Equation 1

Cn + Pn = 60 ----- Equation 2

1. Company M and N ordered the same number of computers

Here,

Cm = Cn

Substitute Cm for Cn in equation 2

Cm + Pm = 50

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Subtract Equation 2 from 1

Pm - Pn = 50 - 60

Pm - Pn = -10

Pm = Pn - 10

Substitute Pn-10 for Pm in equation 1

Cm + Pn - 10 = 50

Make Pn the subject of formula

Cm = 50+10-Pn

Cm = 60 - Pn

Hence, the number of computers ordered by Company M is 60 minus the number of printers ordered by Company n

2. Company N ordered 10 more printers than Company M.

Here,

Pn = 10 + Pm

Make Pm the subject of formula

Pm = Pn - 10

Substitute Pn-10 for Pm in equation 1

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Make Cm the Subject of formula

Cm = 50 + 10 - Pn

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Hence, the number of computers ordered by Company M is 60 minus the number of printers ordered by Company n

Condition 1 and 2 points to the same result

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