Answer:
The numbers are 40 and 10
Step-by-step explanation:
Let the numbers be x and y
According to given conditions:
x + y = 50 .......... eq 1
x/y = 4 ................. eq 2
Taking eq 2
x/y = 4
Multiplying both sides by y
y * x/y = 4 * y
x = 4y
Putting value of x in eq 1 we get
x + y = 50
4y + y = 50
5y = 50
Dividing both sides by 5
y = 50/5
y = 10
Putting y = 10 in eq 1 we get
x + y = 50
x + 10 = 50
Subtracting 10 from both sides
x + 10 - 10 = 50 - 10
x = 40
So the numbers are 40 and 10
Proof:
As
40 + 10 = 50
and
40/10 = 4
hence proved
I hope it will help you!
