Amy can clean the house in 6 hours. When she works with tom they get it done in 4 hours. If tom works alone how long will it tak
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Looking at the problem, you can come up with an equation for the consecutive numbers.
If we expand the second term:
Combine like terms:
You can reduce this by dividing both sides of the equation by two:
And we transpose 170 to get a standard quadratic form that the right side will be zero:
Then factor the left side:
Find out the values of x that makes each factor = 0
x + 14 = 0
x = -14
We can eliminate the negative symbol because the problem is asking for positive even integers.
and;
x - 12 = 0
x = 12
Now we can say that the first positive integer is 12 and the second one is 14
If we expand the second term:
Combine like terms:
You can reduce this by dividing both sides of the equation by two:
And we transpose 170 to get a standard quadratic form that the right side will be zero:
Then factor the left side:
Find out the values of x that makes each factor = 0
x + 14 = 0
x = -14
We can eliminate the negative symbol because the problem is asking for positive even integers.
and;
x - 12 = 0
x = 12
Now we can say that the first positive integer is 12 and the second one is 14