The product of two positive a whole numberis 98and the greater numberis twice the smaller number.let's find the two number
smaller number ---- x
larger number ----- 2x
product means we multiply them, so
x(2x) = 98
2x^2 = 98
x^2 = 49
etc
Math
To find the two numbers, we can set up a system of equations based on the given information.
Let's assume the smaller number is x, and the greater number is y.
1) Since the product of the two numbers is 98, we can write the equation:
x * y = 98
2) The greater number is twice the smaller number, so we can write another equation:
y = 2x
Now we have a system of two equations. To solve it, we can use the method of substitution or elimination.
Let's use the substitution method:
Substitute the value of y from equation 2) into equation 1):
x * (2x) = 98
Simplify:
2x^2 = 98
Divide both sides by 2:
x^2 = 49
Take the square root of both sides (remembering that x is a positive whole number):
x = 7
Since y = 2x (from equation 2)), substituting x = 7 into the equation gives:
y = 2 * 7 = 14
Therefore, the two numbers are 7 and 14.