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I. p² - 10p +21 = 0 p² - 3p – 7p +21 = 0 ⟹ p (p - 3) – 7 (p - 3) = 0 ⟹ (p-7)(p-3)= 0 ⟹ p= 3, 7 II. q²+q -12 = 0 ⟹ q² + 4q – 3q -12 =0 ⟹ q(q + 4) -3(q + 4)= 0 ⟹ q = -4, 3 ∴ p≥q
Divide 297 into two parts such that one may be to the other as 2:9.
The ratio of zinc and copper in a brass pieces is 3:4. How much zinc will be there in 140 kg of such a piece?
If A : B = 7:5 and A is 14 more than B then find the sum of A and B.
A sum of Rs. 624 is divided among X, Y and Z such that X gets Rs. 166 more than Y. Y gets Rs. 88 more than Z. Find the share of Z?
In an orchard, the ratio of the number of mango and lichi trees is 2:5, respectively. Also, there are few apple trees in the orchard which is 50% more t...
Three numbers are in the ratio 3:5:6. If the sum of their squares is 630, then the numbers are:
A mixture contains milk and water in the ratio 7:5. If 60 liters of this mixture is replaced with 60 liters of water, the ratio of milk to water becomes...
Rs 1215 is divided among 6 men, 5 women and 3 boys so that the share of a man, a woman and a boy may be in the ratio of 5:6:7. What is the share ...
The ratio between the number of males and females in a college is 25: 26. If the number of males increases by 20% and the number of females increases by...
Number of faculties in Physics and Biology in an institute is in the ratio of 3:5 respectively. If 75 more faculties join Physics, while 40 more faculti...