Question

The sum of three numbers is 50. The second number is three times the first number in the third number is twice the second number what are the numbers?please hurry!

Answer 1

The value of x, y and z is 5, 15 and 30 respectively.

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.

For Verification;

x + y + z = 50

5 + 15 + 30 = 50

50 = 50

L.H.S = R.H.S

Hence Verified!

-TheUnknownScientist 72