Question

If x:y = 7:9 and y:z = 5:4 find x:y:z

Answer 1

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Answer 2

Given:

(i) If x:y = 7:9 and y:z = 5:4

To find:

(i) The value of x:y:z

Solution:

Given,

x/y = 7/9 and y/z = 5/4.

To find the required x:y:z, we take the LCM of y, that is 9 and 5.

LCM of 9 and 5 = 45.

We change the ratios such that y always contain 45 in both the cases.

So, x:y = 7:9

= (7*5):(9*5)

= 35/45

Again, y:z = 5:4

= (5*9):(4*9)

= 45/36

So, x:y:z = 35:45:36

Thus, the required answer is 35:45:36