When an integer is subtracted from 5 times the next consecutive odd integer, the difference is 38. Find the value of the greater

Question

1 year ago

6

integer.

1 answer:

kirill115 [55] · Answer 1 · 2024-07-21T21:50:14+03:00

The value of the greater integer is 9

<h3>How to determine the value of the greater integer?</h3>

From the question, the statement is given as

<em>An integer is subtracted from 5 times the next consecutive odd integer, the difference is 38</em>

<em />

Represent the integer with x

So, we have the following representation

x is subtracted from 5 times the (x + 2), the difference is 38

When represented as an equation, we have

5(x + 2) -x = 38

Open the brackets

5x + 10 - x = 38

Evaluate the like terms

4x = 28

Divide by 4

x = 7

The next odd integer is x + 2

So, we have

x + 2 = 7 + 2

Evaluate

x + 2 = 9

Hence, the solution is 9

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