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Let the rational number be x/y. When 2 is added to the denominator, => x/(y + 2) = 1 ⇒ x = y + 2 ⇒ y = x – 2 ------ (i) When 4 is added to the numerator, => (x + 4)/y = 1/2 ⇒ 2x + 8 = y ------- (ii) Solving equation eq. (i) and (ii) we get, => x – 2 = 2x + 8 ⇒ x = -10 Putting the value of ‘x’ in equation (i) we get, => y = -10 - 2 ⇒ y = -12 Required sum = -10 + (-12) = -22
P can do a piece of work in 20 days, Q can do the same piece of work in 24 days while R can do it in 30 days. They started working together but after 4 ...
Determine the final value of this expression:
(1/5) of {5⁴ - 24 × 14 + 12 × 18 - 10.5 of 10²}
Ravi’ spends 60% of his income whereas ‘Karan’ spends 80% of his income. If each of them saves Rs. 6,000, then find the total expenses...
The speed ratio of A to B is 4:3. C covers 840 km in 14 hours. If B's speed is 20% lower than C's speed, how much time will A need to cover 512 km?
The average of 16 numbers is 82. The average of the first 8 numbers is 90, while the average of the last 9 numbers is 75. If the 8th number is removed, ...
