The equation of the word problem is ( x - 5 ) × 2 = 26 and the value of the unknown number is 18.
What is the equation?
Given that;
A number is decreased by five and then the result is multiplied by two.
The result is 26.
Let x represent the unknown know number.
- Number is decreased by five: x - 5
- Then the result is multiplied by two: ( x - 5 ) × 2
- The result is 26: ( x - 5 ) × 2 = 26
Hence,
The equation is ( x - 5 ) × 2 = 26
We can go further and solve for the value of the unknown number.
( x - 5 ) × 2 = 26
2x - 10 = 26
2x = 26 + 10
2x = 36
x = 36 ÷ 2
x = 18
The equation of the word problem is ( x - 5 ) × 2 = 26 and the value of the unknown number is 18.
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