Question

In the adjacent diagram, if n(U) = 125, y is two times of x
and z is 10 more than x, then find the value of x,y and 2.​

Answer 1

Given:

In the adjacent diagram, if n(U) = 125, y is two times of x and z is 10 more than x,  

To find:

Then find the value of x,y and 2.​

Solution:

Consider the attached required figure while going through the following steps.

From given, we have,

n(U) = 125

y = 2x  .........(1)

z = 10 + x  .......(2)

Using figure, we have,

[x + 4 + 3 + 6] + [y + 4 + 3 + 17] + [z + 6 + 3 + 17] = 125

using (1) and (2), we get,

[x + 4 + 3 + 6] + [2x + 4 + 3 + 17] + [10 + x + 6 + 3 + 17] = 125

x + 13 + 2x + 24 + x + 36 = 125

4x + 73 = 125

4x = 125 - 73

4x = 52

x = 13

y = 2x = 2 * 13 = 26

z = x + 10 = 13 + 10 = 23

Therefore, the values of x, y and z are 13, 26 and 23.