Question

The product of two numbers is 7.2 and the result of the division of the the numbers is 80. What are the two numbers?

Answer 1

Answer:

Given that,

Ratio of two numbers =7:2

Let, the numbers are 7x,2x

∵7x+2x=54

9x=54

x=

9

54

=6

∴ The numbers are 42,12

Answer 2

Answer:

The two numbers are 0.30 and 24

Step-by-step explanation:

Turn the word problems into two separate equations. Let A the first number, and B as the second number.

1. A x B = 7.2

2. A ÷ B = 80

1. Get the equation for A:

A x B = 7.2

A = 7.2 / B

2. Substitute the 'value' of A in the second equation

A ÷ B = 80

(7.2 / B) ÷ B = 80

Get the quotient of the left side of the equation, when doing a fraction and whole number division, you may 1. Multiply the denominator of the fraction by the whole number ( 7.2 / B x B) , or 2. get the reciprocal of the whole number and multiply it to the fraction (7.2 / B x 1 / B).

7.2 / $B^{2}$ = 80

(simplify the equation by multiplying both sides with )

(7.2 / $B^{2}$) x

Simplified Equation is:

7.2 = 80$B^{2}$

Get the Square root of both sides of the equation

$\sqrt{7.2}$ = $\sqrt{80B^{2} }$

Square root of the equation is:

2.68 = 8.94B

Divide both sides by 8.94 to get the value of B (Second Number)

2.68 / 8.94 = 8.94B / 8.94

The value of B (second number) is:

0.30 = B

3. Derive the value of A using the value of B in number 2.

A x B = 7.2

A x 0.30 = 7.2

A = 7.2 / 0.30

A = 24

The two numbers are 0.30 and 24

Checking:

1. A x B = 7.2

24 x 0.30 = 7.2

7.2 = 7.2

2. A ÷ B = 80

24 ÷ 0.30 = 80

80 = 80