The product of two integers is about 50 less than one of the integers. Explain your answer. Think of three or more possible pairs of integers.
Mathematics
bomahoney
Question
The product of two integers is about 50 less than one of the integers. Explain your answer. Think of three or more possible pairs of integers.
1 Answer

1. User Answers SamuelS
an integer is a whole number and the product of numbers means to multiply them. So so we know that:
x * y = x  50
So the product (x * y) is 50 less than one of the integers ( x  50)
I can divide both sides by x:
y = (x  50) / x where x is not zero
y = x/x  50/x
y = 1  50/ x
x can no longer be zero since you cannot divide by zero
the only way for y to be a whole number is if 50/x is a whole number. 50/x can onky be a whole number if x is a factor of 50. so take any factor of 50 and that will be possible answers.
factors of 50: 1,2,5,10,25,50
these would be possible x values. To to find corresponding y values plug in x
y = 1  50/1
y = 1  50
y = 49
So first pair is (1, 49)
do the same for the rest and get
(2, 24)
(5, 9)
(10, 4)
(25, 1)
(50, 0)