mackjoy9263 mackjoy9263
  • 24-06-2021
  • Mathematics
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For two consecutive numbers, five times the number that is 3 more than four timse the greater number. What are the numbers?

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MrRoyal
MrRoyal MrRoyal
  • 24-06-2021

Answer:

7 and 8

Step-by-step explanation:

Given

Let the consecutive numbers be: [tex]x, x + 1[/tex]

Such that the relationship between the two numbers is:

[tex]5 x = 3 + 4(x + 1)[/tex] --- from the question

Required

Find the numbers

We have:

[tex]5 x = 3 + 4(x + 1)[/tex]

Open bracket

[tex]5x = 3 + 4x + 4[/tex]

Collect like terms

[tex]5x - 4x = 3 + 4[/tex]

[tex]x = 7[/tex]

So, the consecutive numbers are: 7 and 8

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