If a -1-42 x -1- b -1-54 x -1a-b-2- find the value of x-A- 3B- 8C- 11D- 6E- None of these

The correct option is E None of these a=1/4(2x 1),b= 1/5(4x+1) ⇒1/4(2x 1) { 1/5(4x+1)}=2 ⇒2x 1/4+4x+1/5=2 ⇒5(2x 1)+4(4x+1)/20=2 ⇒ 10x 5+16x+4=40 ⇒ 26x 1=40 ...

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Quantitative Aptitude

Functions

If a =1/42 x ...

Question

$If a = \frac{1}{4} (2 x - 1), b = - \frac{1}{5} (4 x + 1), a-b=2, find the value of x.$

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None of these

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Solution

The correct option is E
None of these

$a = \frac{1}{4} (2 x - 1), b = - \frac{1}{5} (4 x + 1) \Rightarrow \frac{1}{4} (2 x - 1) - {- \frac{1}{5} (4 x + 1)} = 2 \Rightarrow \frac{2 x - 1}{4} + \frac{4 x + 1}{5} = 2 \Rightarrow \frac{5 (2 x - 1) + 4 (4 x + 1)}{20} = 2 \Rightarrow 10 x - 5 + 16 x + 4 = 40 \Rightarrow 26 x - 1 = 40 \Rightarrow 26 x = 41 \Rightarrow x = \frac{41}{26} = 1 \frac{15}{26}$

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If a=14(2x−1),b=−15(4x+1), a-b=2, find the value of x.

The correct option is E None of these a=14(2x−1),b=−15(4x+1)⇒14(2x−1)−{−15(4x+1)}=2⇒2x−14+4x+15=2⇒5(2x−1)+4(4x+1)20=2⇒10x−5+16x+4=40⇒26x−1=40⇒26x=41⇒x=4126=11526

$If a = \frac{1}{4} (2 x - 1), b = - \frac{1}{5} (4 x + 1), a-b=2, find the value of x.$