Question

20. Two numbers are respectively 30% and 20% more than a third number. Find the ratio of two numbers
0 12:13
0 13:12
03:2
02:3​

Answer 1

Answer:

13 : 12

Step-by-step explanation:

Let the third number be 100.

1st no. = 3rd no + 30% of 3rd no.

            = 100 + 30% of 100

            = 100 + (30/100) x 100

            = 130

2st no. = 100 + 20% of 100

             = 100 + (20/100) x 100

             = 120

Their ratio:

1st no. : 2nd no.

 130 : 120

 13 : 12

Answer 2

Given :-

Two number are respectively 30% and 20% more than third number.

To Find :-

Ratio of numbers

Solution:-

Let the third number be 10

$\sf 1^{st} \; no. = 10 + \dfrac{30}{100}\times10$

$\sf 1^{st} \; no. = 10+\dfrac{30}{10}$

$\sf 1^{st} \; no. = 10 + 3$

$\bf 1^{st} no. = 13$

Finding 2nd no.

$\sf 2^{nd} \; no = 10 + \dfrac{20}{100}\times 10$

$\sf 2^{nd} \; no. = 10 + \dfrac{20}{10}$

$\sf2^{nd} \; no = 10 + 2$

$\bf 2^{nd} \; no = 12$

Ratio = 13:12