2. Find a natural number whose square diminished by 84 is equal to thrice of 8 more than the given number. 3. A natural number, when increased by 12, equals 160 times its reciprocal. Find the number. 4. A train, travelling at a uniform speed for 360 km, would have taken 48 minutes less to travel the same distance if its speed were 5 km/h more. Find the original speed of the train. 5. If Zeba were younger by 5 years than what she really is, then the square of her age (in years) would have been 11 more than five times her actual age. What is her age now? 6. At present Asha’s age (in years) is 2 more than the square of her daughter Nisha’s age. When Nisha grows to her mother’s present age, Asha’s age would be one year less than 10 times the present age of Nisha. Find the present ages of both Asha and Nisha. 7. In the centre of a rectangular lawn of dimensions 50 m × 40 m, a rectangular pond has to be constructed so that the area of the grass surrounding the pond would be 1184 m2 . Find the length and breadth of the pond. 8. At t minutes past 2 pm, the time needed by the minutes hand of a clock to show 3 pm was found to be 3 minutes less than t24 minutes.Find t.
7. In the centre of a rectangular lawn of dimensions 50 m × 40 m, a rectangular
pond has to be constructed so that the area of the grass surrounding the pond
would be 1184 m2 . Find the length and breadth of the pond.
8. At t minutes past 2 pm, the time needed by the minutes hand of a clock to show
3 pm was found to be 3 minutes less than t24 minutes.Find t.
2)
Let the natural number be x.
Therefore,
We will take positive value because natural number can’t be negative. Hence number will be 12.
(3)
Let the natural number be x.
Therefore,
We will take positive value because natural number can’t be negative. Hence number will be 8
(4)
Let the original speed of train is x km/h
Therefore,
We will take only positive value. Hence, original speed of the train is 45 km/h.