Different between two natural number is 24 the bigger number is four time greater than the smaller number find the number

x= larger y= smaller

x-y = 24
x= 4y

4y -y =24
3y = 24
y = 8
x = 32

X=larger y=Smaller

X-y=2
4y-y=24
3y=24
Y=8
X=32

To find the two natural numbers, let's assume the smaller number as "x" and the bigger number as "y".

According to the given information, the bigger number is four times greater than the smaller number. Mathematically, we can express this as:

y = 4x

It is also given that the difference between the two numbers is 24. Mathematically, we can express this as:

y - x = 24

Now, we can solve these two equations simultaneously to find the values of x and y.

Substituting the value of y from the first equation into the second equation:

4x - x = 24
3x = 24
x = 8

Now, substituting the value of x into the first equation:

y = 4(8)
y = 32

Therefore, the smaller number is 8 and the bigger number is 32.