Find the numbers which are in the ratio 3 : 2 : 4 such that the sum of the first and the second added to the difference of the third and the second is 21 ?  Choose the correct choice from the following
A) 9, 6, 16 B) 9, 6, 11 C) 9, 6, 17 D) 9, 6, 12 E) 9, 6, 19
Let the numbers be a, b and c.   Given that a, b and c are in the ratio 3 : 2 : 4.   let, a = 3x, b = 2x and c = 4x   Given, (a+b) + (c - b) = 21   = &gt; a + b + c - b = 21 = &gt; a + c = 21   = &gt; 3x + 4x = 21 = &gt;7x = 21 = &gt; x = 3   a , b , c are 3x, 2x, 4x.   Answer:9, 6, 12   a, b, c are 9 , 6 , 12.
<result>D</result>
Find the numbers which are in the ratio 3 : 2 : 4 such that the sum of the first and the second added to the difference of the third and the second is 21 ?