The Double of a number is greater by 48 than its half. find the number.
let the number be x
2x > (1/2)x by 48
2x = (1/2)x + 48
multiply each term by 2
4x = x + 96
3x = 96
x = 32
check: doube 32 is 64
half of 32 is 16
Is 64 greater than 16 by 48 ? YES!
Let the number be m
So half of m = m/2 and double =2m
So,48 = 2m-m/2=48
=taking LCM of 1 and 2 that is 2 so,4m-m/2=48
Then multiple 2 at both sides that is
3m=96
So 96 is divided by 3 gives 32
To solve this problem, let's break it down step by step.
Let's assume the given number is "x".
According to the given information:
"The double of a number is greater by 48 than its half."
Mathematically, we can express this information as:
2x = (1/2)x + 48
Now, let's solve the equation to find the value of x.
First, we can simplify the equation by multiplying both sides by 2 to get rid of the fraction:
4x = x + 96
Next, we can simplify further by subtracting x from both sides:
4x - x = 96
This becomes:
3x = 96
Finally, we can solve for x by dividing both sides by 3:
x = 96 / 3
Simplifying this expression:
x = 32
Therefore, the number is 32.