P-II
34. If x is added to each of 14, 12, 34 and
30, the numbers so obtained, in this
order, are in proportion. What is the
value of V12r +9 ?
(1) 9
(2) 11
(3) 13
(4) 8
Answers
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√(12x + 9) =9 if f x is added to each of 14, 12, 34 and 30, the numbers so obtained, in this order, are in proportion.
Step-by-step explanation:
14 + x : 12 + x :: 34 + x : 30 + x
=> (14 + x)/(12 + x) = (34 + x)/(30 + x)
=> (14 + x)(30 + x) = (12 + x)(34 + x)
=> 420 + x² + 44x = 408 + x² + 46x
=> 2x = 12
=> x = 6
12x + 9 = 12 * 6 + 9 = 81
√ 81 = 9
√(12x + 9) =9
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