‘Three less than half a number is the same as four more than the number’ can be expressed as an equation by:
Question
‘Three less than half a number is the same as four more than the number’ can be expressed as an equation by:
Solution
Let's denote the number as x.
The phrase "half a number" can be expressed as 0.5x or x/2.
"Three less than half a number" means we subtract 3 from half of the number, which can be written as 0.5x - 3 or x/2 - 3.
"Four more than the number" means we add 4 to the number, which can be written as x + 4.
The phrase "is the same as" suggests an equation, so we can equate the two expressions we got:
0.5x - 3 = x + 4
This is the equation that represents the given statement.
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