Question

two numbers are in the ratio 9:13 and their difference is 20. find the numbers​

Answer 1

Answer:

Step-by-step explanation:

9:13

9x , 13x

9x-13x=20

-4x = 20

x= -5

9x = -45

13x = -65

verify : -45 -(-65) = 20

Answer 2

Given :-

• Two numbers in the ratio 9:13 and difference between them is 20.

To find :-

• What are the numbers?

Solution :-

Let,

$\mapsto First \: number = 9x$

$\mapsto Second \: number = 13x$

According to the question :

$\implies \sf 13x - 9x = 20$

$\implies \sf 4x = 20$

$\implies \sf x = \: \dfrac{\cancel{20}}</p><p>{\cancel{4}}$

$\implies \sf x = \: \dfrac{5}{1}$

$\implies \sf\bold{\red{x = \: 5}}$

Hence the required numbers are :

$\leadsto \sf\bold{\blue{First \: Number \: :-}}$

$\longrightarrow \sf 9x$

$\longrightarrow \sf \: 9(5)$

$\longrightarrow \sf \: 9 \times 5$

$\longrightarrow \sf\bold{\red{45}}$

$\leadsto \sf\bold{\blue{Second \: Number\: :-}}$

$\longrightarrow \sf \: 13x$

$\longrightarrow \sf \: 13(5)$

$\longrightarrow \sf \: 13 \times 5$

$\longrightarrow \sf\bold{\red{65}}$

$\therefore The \: numbers \: are\: 45\: and \: 65.$

Verification :-

$\implies \sf 13x - 9x = 20$

By putting x = 5 , we get

$\implies \sf \: 13(5) - 9(5) = 20$

$\implies \sf 65-45 = 20$

$\implies \sf\bold{\purple{20 = 20}}$

Hence Verified.