Question

a boy worked out twice as many sums in an hour as the number of hours he worked out.If he worked out 50 sums how many hours did he do sums

Answer 1

Step-by-step explanation:

Let the boy have worked out sums for t hours.

According to the provided information:

Number of sums worked out in an hour = 2t

Number of sums worked out in t hours = 2t²

Total number of sums worked out = 50

$2 {t}^{2} = 50 \\ ⇒ {t}^{2} = 25 \\ ⇒t = \sqrt{25} \\ ∴t=5$

Thus, the boy worked out sums for 5 hours.