What should be subtracted from each of the no. 54, 71, 75 and 99 so that the remainder may be in proportion.
Answer & explanation
Correct answer: option 2
Best approach is to check the options:
Like, option (b) = 3
If we subtract 3 from each number, it becomes in proportion.
(54 - 3) : (71 - 3) :: (75 - 3) : (99 - 3)
51 : 68 :: 72 : 96
3 : 4 :: 3 : 4 (justify)
Therefore, 3 is correct answer.
Alternate approach:
\(\frac{54-x}{71-x}=\frac{75-x}{99-x}\)
(54 – x) (99 – x) = (75 – x) (71 – x)
x2 – 99x – 54x + 5346 = x2 – 75x – 71x + 5325
– 153x + 146x = –5346 + 5325
–7x = – 21
⸫ x = 3