Question

. Two numbers are in the ratio 5 : 8 and their difference is 12. Find the numbers. ​

Answer 1

Answer:

the numbers are -32 and -20

Step-by-step explanation:

Given the ratio of two numbers is 5:8

and their difference is 12

let the first number is x and the second number is y

we get x-y=12

and

$\frac{x}{y} = \frac{5}{8} \\ = x = \frac{5}{8} y$

putting the value of x in the given equation we get

$x - y = 12 \\ = \frac{5}{8} y - y =12 \\ = \frac{5y - 8y}{8} = 12 \\ = 5y - 8y = 96 \\ = - 3y = 96 \\ = y = - 32$

now putting the value of y in the equation we get

$x - y = 12 \\ = x - ( - 32) = 12 \\ = x = 12 - 32 = - 20$

Answer 2

Answer:

• The required two numbers are 20 and 32.

Step-by-step explanation:

Given:

• Two numbers are in the ratio 5 : 8 and their difference is 12.

To Find:

• Find the numbers.

Solution:

• Let 1st number be 5x
• 2nd number be 8x

According to question,

➛ 5x - 8x = 12

➛ - 3x = 12

➛ x = 12/3

➛ x = 4

Hence,

• 1st number = 5x = 20
• 2nd number = 8x = 32