Question 437014
x = one number
y = another numbers
We're told x = 7 times the other number
{{{x = 7y}}}
We're told the product = 252
{{{xy = 252}}}
Substituting what we know about x and y
{{{(7y)*y = 252}}}
Multiply through
{{{7y^2 = 252}}}
Divide both sides by 7
{{{y^2 = 36}}}
Take the square root of both sides
{{{y = sqrt(36)}}}
{{{y = 6}}}
Substitute this value of y to determine the value of x
{{{x = 7*6}}}
{{{x = 42}}}
Always check your work.
{{{6*42 = 252}}}
True
{{{42 = 7*6}}}
True
Remember to state your answer:
The two numbers are 6 and 42.
Done