four times the larger number of two numbers is equal to seven times the smaller.the sum of the numbers is 22.find the numbers

30 and 4/5

I need complete answer

To solve this problem, let's assume that the larger number is represented by 'x' and the smaller number is represented by 'y'.

From the problem statement, we can create two equations:

1) "Four times the larger number is equal to seven times the smaller number":
4x = 7y

2) "The sum of the numbers is 22":
x + y = 22

We can solve this system of equations using substitution or elimination method.

Let's use the substitution method:

From equation 2), we can express x in terms of y:
x = 22 - y

Now substitute this value of x into equation 1):
4(22 - y) = 7y

Simplify the equation:
88 - 4y = 7y

Combine like terms:
88 = 7y + 4y
88 = 11y

Divide both sides by 11:
y = 8

Now substitute the value of y back into equation 2) to find x:
x + 8 = 22
x = 22 - 8
x = 14

Therefore, the larger number is 14 and the smaller number is 8.

4n = 7 (22-n)

take it from there