Question

The sum of two numbers is 50. If the larger number is divided by the smaller number we get 24. find the number​

Answer 1

Answer:

48,2

Step-by-step explanation:

x+(50-x)=50

50-x÷x=24

50-x=24x

50=25x

x=2

50-2=48

Answer 2

Answer:

Let the larger number be x

Smaller number be y

then

x+y=50 (Eq. 1)

Given

when larger number is divided by y,we gets 24

that is

$\frac{x}{y} = 24 \\ x = 24y$

Therefore in place of x

I can use 24 y (Eq. 2)

Now,from (Eq. 1) & (Eq. 2)

24y+y=50

25y=50

y=50/25

y=2

Therefore value of y=2

Now,x=?

we know

x/y=24

and

x= 24y

that is

x=24×2,x=48

Therefore the numbers are 48 and 2