Answer:
The value of x, y and z is 5, 15 and 30 respectively.
Step-by-step explanation:
Let the first number be x, second number be y and third number be z
Here, The sum of three numbers is 50
x + y + z = 50 ...(1)
The second number is three times the first number
y = 3x ...(2)
The third number is twice the second number
z = 2y ...(3)
Here, we know that y = 3x from equation (2). So, put this value in equation (3)
z = 2y
z = 2(3x)
z = 6x ...(4)
Here, y = 3x and z = 6x then put this in equation (1)
x + y + z = 50
x + 3x + 6x = 50
10x = 50
10x/10 = 50/10
x = 5
Here, The value of x is 5
So,
y = 3x
y = 3(5) = 15
z = 6x = 6(5) = 30
Thus, The value of x, y and z is 5, 15 and 30 respectively.
x + y + z = 50
5 + 15 + 30 = 50
50 = 50
L.H.S = R.H.S
Hence Verified!
-TheUnknownScientist 72
