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the sum of 2 numbers is 75. the second number is 3 less than twice the first. find the numbers

Sagot :

SOLUTION

Let one of the numbers be x

Using the statement: The second number is 3 less than twice the first

Then the second number is

[tex]2x-3[/tex]

Since, the sum of 2 numbers is 75

It follows:

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

Solve for x

[tex]\begin{gathered} 3x=75+3 \\ 3x=78 \\ x=\frac{78}{3} \\ x=26 \end{gathered}[/tex]

Therefore the first number is 24

The second number is

[tex]\begin{gathered} 2(26)-3 \\ =49 \end{gathered}[/tex]

therefore the numbers are 49 and 26.

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