Question

the sum of two numbers is 100 if the fifth part of one is two more than the fourth part of the other then find the other numbers

Answer 1

Let the numbers be x and y . Then ,
x = 100 - y , eq(1)
x/5 = 2 + y/4
4x = 40 + 5y
4(100-y) = 40 + 5y
400 - 4y = 40 + 5y
360 = 9y
y = 40
x = 100 - 40 = 60

Answer 2

Answer:

Let the numbers be x and y .

According to the question,

x = 100 - y

x/5 = 2 + y/4

x/5 = (8 + y)/4

4x = 40 + 5y

putting the value of x

4(100-y) = 40 + 5y

400 - 4y = 40 + 5y

400 - 40 = 5y + 4y

360 = 9y

y = 40

x = 100 - 40 = 60

so the number is 60 and 40 ans...

Step-by-step explanation:

hope it's help you!!!