the lcm of two numbers is 30 the difference between the 2 numbers is 5 and their sum is 25 what are the 2 numbers please help
" the difference between the 2 numbers is 5" ---> x-y = 5
"their sum is 25 " ---> x+y = 25
easy to solve, just add them
the fact that "the lcm of two numbers is 30" is redundant information.
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To find the two numbers, we can set up a system of equations using the given information:
Let's say the two numbers are x and y:
1) The difference between the two numbers is 5:
x - y = 5
2) The sum of the two numbers is 25:
x + y = 25
Now, we can use these equations to solve for x and y.
First, we solve equation 1 for x:
x = y + 5
Next, we substitute this expression for x into equation 2:
(y + 5) + y = 25
2y + 5 = 25
2y = 20
y = 10
Now, substitute the value of y back into equation 1 to find x:
x - 10 = 5
x = 15
So, the two numbers are 10 and 15.