Question

what will be the larger of the numbers if the product of two positive numbers is 10.14 and one number is 2 times of the other

Answer 1

lt the two numbers be x and 2x

(x)(2x)=10.14

2x² = 10.14

x² = 5.07

x = 2.25

the larger number is 2x = 2.25 x 2

=4.5

Answer 2

Let one number be x and the other be y

The product of the two numbers is 10.14

⇒ xy = 10.14

⇒ x = 10.14/y --------------------------------------  [ 1 ]

One number is 2 times of the other

⇒ x = 2y   --------------------------------------  [ 2 ]

Sub { 1 ] into [ 2 ] :

10.14/y = 2y

10.14 = 2y²

y² = 5.07

y = 2.25

Find the numbers:

y = 2.25

x = 10.14/2.25 = 4.5

Answer: The larger number is 4.5