Question
A number is 2/5 more than 33 times its reciprocal. What is
the number?Solution
ATQ,
Let the number be x.
x – 33/x = 2/5
⇒ (x² – 33)/x = 2/5
Cross-multiplying:
5x² – 165 = 2x
⇒ 5x² – 2x – 165 = 0
Factorizing:
5x² – 25x + 23x – 165 = 0
5x(x – 5) + 33(x – 5) = 0
(5x + 33)(x – 5) = 0
So, x = –33/5 or x = 5
More No. System Questions
28 × 3.5 +25 × 3.2 = ? - 62
116*2/3% of 18600 + 666*2/3% of 1290 = 457*1/7% of 1750 + 555*5/9% of 3150 + ?
3.2% of 500 × 2.4% of ? = 288
414 ÷ 23 × 38 – 154 + 264 = ?
...What will come in the place of question mark (?) in the given expression?
{(16 × 25) ÷ 32} × 12 = ? – 200
[(4/3) + (5/6)] of 378 = ?
- What will come in the place of question mark (?) in the given expression?
(198/13) X (52/11) - ? ÷ 5 = 13 + 68 ÷ 4 Find the simplified value of the following expression:
62 + 122 × 5 - {272 + 162 - 422}
What will come in the place of question mark (?) in the given expression?
(55 × 8 + 28) × 10 = ?
