Question 55

If s : u : v : w = 2 : 9 : 6 : 7 and s + u + v + w = 864, then what is the value of s + u + w ?

Solution

Let s = 2x, u = 9x, v = 6x and w = 7x
Given, s+u+v+w = 864
2x+9x+6x+7x = 864 => 24x = 864 => x = 36
Then, s+u+w = 2x+9x+7x = 18x = 18*36 = 648

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