Question

2) If the sum of two natural numbers is 70 and their product is 1000 then find the natural numbers.​

Answer 1

Answer:

50 and 20

Step-by-step explanation:

50 + 20 = 70

50 × 20 = 1000

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Answer 2

Answer:

Numbers are 50 and 20

Step-by-step explanation:

Let the two natural numbers be x and y

given that their sum is 70 and product is 1000

so according to the given statement

x + y = 70 ------->1

x × y =1000 ---->2

x = 70 - y

putting value of x in equation 2 we get,

y ( 70 - y ) = 1000

70y - y^2 =1000

y^2 - 70y + 1000 = 0

y^2 - 50y - 20y + 1000 = 0

y( y - 50 ) - 20 ( y - 50 ) = 0

( y - 20 ) ( y - 50 ) = 0

so y has two values

y = 50 , y = 20

so accordingly

x = 70 - 50 = 20 , x = 70 - 20 = 50

x = 20 , x = 50

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