Question

Two numbers are in the ratio 5 : 13 and their sum is 540. Find the
two numbers.​

Answer 1

Question :-

Two numbers are in the ratio 5 : 13 and their sum is 540. Find the two numbers.

Answer:-

• The required numbers are 150 and 390.

Solution:-

• Ratio = 5 : 13

Put x in the ratio

• First number = 5x
• Second number = 13x
• Sum = 540

$\large{ \tt : \implies \: \: \: \: 5x + 13x = 540}$

$\large{ \tt : \implies \: \: \: \: 18x = 540}$

$\large{ \tt : \implies \: \: \: \: x = \frac{540}{18} }$

$\large{ \tt : \implies \: \: \: \: x = 30}$

• The value of x is 30.

____________________________

• First number = 5x = 5×30 = 150
• Second number = 13x = 13×30 = 390

_____________________________

Hence,

The required numbers are 150 and 390.

Answer 2

Answer:

The Numbers are 150 and 390

Step-by-step explanation:

Let the numbers be 5x and 13x

5x + 13x = 540

18x = 540

x= 540/18

x =30

so the numbers are

5x = 5×30 =150

13x = 13×30= 390