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 both the numbers ? ​

Answer 1

Step-by-step explanation:

12345678900987654321

Answer 2

Hie!!

let the two numbers be x and y

According to the given Question.

x + y = 100 ... Equation i

x/5 = 2 + ( y/4)

x/5 = (8 + y)/4

4x - 5y = 40 ... Equation ii

MULTIPLY EQUATION i BY 5 WE HAVE

5x + 5y = 500 ... Equation iii

Add Equation ii and iii we have

9x = 540

x = 60

Now, put value of x in equation i we get

60 + y = 100

y = 100 - 60

y = 40

So, the two numbers are 60 And 40