Increases 80772

The product of two numbers we know. If we increase the first factor by 2 and decrease the second factor by two, the product increases by 4. How much does the product change if we decrease the first factor by 3 and increase the second factor by 3?

Correct answer:

s =  3

Step-by-step explanation:

x⋅ y=z (x+2)(y−2)=z+4 x⋅ y−4+2y−2x=z+4 z−4+2y−2x=z+4 2y−2x=8 y−x=4  x=y−4 y=x+4 z=x⋅ y = x(x+4)  (x+3)(y−3) = xy−9+3y−3x = z −9+3y−3⋅ (y−4) = z−9+3y−3y+12 (x+3)(y−3) = z−9+12 = z+3  s=3   Verifying Solution:  x=13 y=x+4=13+4=17  z1​=x⋅ y=13⋅ 17=221 z2​=(x+2)⋅ (y−2)=(13+2)⋅ (17−2)=225 z3​=(x+3)⋅ (y−3)=(13+3)⋅ (17−3)=224  s2​=z3​−z1​=224−221=3 s2​=s

Try another example


Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Are you looking for help with calculating roots of a quadratic equation?
Do you have a system of equations and looking for calculator system of linear equations?

You need to know the following knowledge to solve this word math problem:

Grade of the word problem:

Related math problems and questions: