In a group of 120 people, one-fifth are men, one-fourth are women and the rest are children The average age of women is five-sixth of the average age of men. If average age of men is 60 years, what is the average age of the group?

Mathematics:

Twenty –four men can complete a work in sixteen days. Thirty- two women can complete the same work in twenty – four days. Sixteen men and sixteen women started working and worked for twelve days. How many more are to be added to complete the remaining work in 2 days.

Mathematics:

The average speed of a train in the onward journey is 25% more than that in the return journey. The train halts for one hour on reaching the destination . The total time taken for the complete ot and from journey is 17 hours, covering a distance of 800 km Find the speed of the train in the onward journey.

A and B started a business with initial investments in the respective ratio of 18: 7. After four months from the start of the business, A invested Tk. 2,000 more and B invested Tk. 7,000 more. At the end of one year, if the profit was distributed among them in the ratio of 2:1 respectively. What was the total initial investment with which A and B started the business?

4 years ago, the respective ratio between $\frac{1}{2}$ of A's age at that time and four times of B's age at that time was 5 : 12. Eight years hence $\frac{1}{2}$ of A's age at the time will be less than B's age at that time by 2 years. Which is B's present age?

A and B started a business by investing Tk. 2,400 and Tk. 3,600 respectively. At the end of 4^th month from the start of the business, C joined with Tk. 'X'. After 8 months from the start of the business, B withdrew Tk. 600. If C's share is Tk. 8,000 in the annual profit of Tk. 22,500, what was the amount the C invested in the business?