Question

The difference between two numbers is 5 and the product of the two numbers is 1050.find the numbers
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Answer 1

Answer:

30 and 35

Step-by-step explanation:

35-30=5

30*35=1050

UwU

Answer 2

Answer:

Let the two numbers be a and b.

According to the question,

a-b=5

or, a = 5-b      ---- equation 1

Also, from question,

a*b = 1050

or, (5-b)*b = 1050          (from equation 1)

or, 5b-b^2 = 1050

or, b^2-5b+1050=0

or, b^2-(35-30)b +1050 = 0

or, b^2 - 35b+30b +1050 = 0

or, b(b-35) + 30(b-35) = 0

or, (b-35)(b+30) = 0

Either b= 35 or, b= -30

When b = 35,                                  

from equation 1,

a = 5-b

or, a = 5-35

or, a = -30

When b = -30,

from equation 1,

a = 5-b

or, a = 5-(-30)

or, a = 5+30

or a= 35

Hence when b=35,a=-30 and when b=-30, a=35