Two numbers are In ratio 5:3, if the differ by 18 what are the numbers

The answer that i got is : The large number is 45 the small number is 27

45

27

Step-by-step explanation:

Let the larger number = x

Let the smaller number = y

5/3 = x/y

The numbers differ by 18

x - y = 18 Add y to both sides

x = 18 + y Substitute for x in the ratio

5/3 = (18 + y) / y Cross multiply

5y = 3 (18 + y) Remove the brackets

5y = 54 + 3y Subtract 3y from both sides

5y - 3y = 54 + 3y-3y Combine

2y = 54 Divide by 2

2y/2 = 54/2

y = 27

The smaller number is 27

x = y + 18

x = 27 + 18

x = 45

The larger number is 45