Question

The ratio of two numbers is 4: 1. If 5 is added to both the numbers, the ratio of
the new numbers obtained becomes 3 : 1. Then the numbers are

Answer 1

Let one number be 4M and other number be 1M.

If 5 is added to both the number. Then -

• One number = 4M + 5
• Other number = 1M + 5

After adding 5 to both the numbers, the new ratio is 3:1.

According to question,

=> $\sf{\dfrac{4M\:+\:5}{M\:+\:5}\:=\:\dfrac{3}{1}}$

=> $\sf{4M\:+\:5\:=\:3(M\:+\:5)}$

=> $\sf{4M\:+\:5\:=\:3M\:+\:15}$

=> $\sf{4M\:-\:3M\:=\:15\:-\:5}$

=> $\sf{M\:=\:10}$

$\therefore \:\sf{One\:number \:=\:4M}$

=> $\sf{4(10)}$

=> $\sf{40}$

$\sf{Other \:number \:=\:1M}$

=> $\sf{1(10)}$

=> $\sf{10}$

•°• Number are 40 and 10.

Verification

From above calculations M = 10

Substitute value of M in this :

$\sf{\dfrac{4M\:+\:5}{M\:+\:5}\:=\:\dfrac{3}{1}}$

=> $\sf{\dfrac{4(10)\:+\:5}{10\:+\:5}\:=\:\dfrac{3}{1}}$

=> $\sf{\dfrac{40\:+\:5}{10\:+\:5}\:=\:\dfrac{3}{1}}$

=> $\sf{\dfrac{45}{15}\:=\:\dfrac{3}{1}}$

=> $\sf{\dfrac{3}{1}\:=\:\dfrac{3}{1}}$

Answer 2

Step-by-step explanation:

Answer

Hey Refers to this attachment