solve a number is one half of another .find the numbers if their difference is 17.
Process:
let x = smaller number
2x - x = 17
x = 17
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To solve this problem, let's assign variables to the two numbers. Let's say the first number is x, and the second number is y.
According to the given information:
- "A number is one half of another" can be represented as: x = (1/2)y
- "Their difference is 17" can be represented as: y - x = 17
We can use these two equations to find the values of x and y.
First, substitute the value of x from the first equation into the second equation:
y - (1/2)y = 17
To simplify the equation, multiply both sides by 2 to get rid of the denominator:
2y - y = 34
Combining the terms on the left side:
y = 34
Now, substitute the value of y back into the first equation to find x:
x = (1/2) * 34
x = 17
Therefore, the two numbers are 17 and 34, where 34 is one half of 17, and their difference is indeed 17.
17+17= 34
the numbers are 17 and 34
where 17 is one half of 34