One number is 5 times another number. The product of the two numbers is 245. Find the two numbers. Please explain this to me!!!
Stacey Warren - Expert brainly.com
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You're right about the equations 5N = X and NX = 245. What I would do is substitute 5N for X in the second equation since you know one X is worth 5N. So you would get:
N(5N) = 245; then distribute to get:
5N ^2 = 245; then divide both sides by 5 to isolate the variable
N^2 = 49; then take the square root of both sides
N = 7; put that value back into your original equation to get X = 5N = 5(7) = 35
N could also be -7 since both 7 and -7 square to be 49. In this case, X would be -35.
If 5n = x, then put 5n in for x in the other equation
5n^2 = 245
then divide by 5
n^2 = 49
n = 7
5 times n = 35
The 2 numbers are 7 and 35