Exercise 1

X gives of his property to his wife and of the rest to his son. The remainder is divided equally between his two daughters. The share of each daughter is

If each child is given 10 sweets, there are 3 sweets left over, but if each is given 11, then the number of sweets is 4 less. Find the number of sweets.

180 oranges are distributed among 70 boys and girls such that each boy gets 2 and each girl gets 3 oranges. The numbers of boys are

A farmer divides his herd of cows among his four sons so that first son gets one-half of the herd, the second son gets one-fourth, the third son one-fifth and the fourth son 7 cows. The total number of cows in the herd is

A man had two sons. To the elder, he left of his property, to the younger of the remainder, the rest to the widow. Find the share of the sons if the widow gets Rs.3600.

If Rs.370 are divided among 10 men, 12 women and 20 boys such that each man gets an amount equal to that received by one woman and one boy together and each woman gets twice the amount received by a boy, then the amount received by 10 men would be

A sum of Rs.750 is distributed among A, B, C and D in such a manner that A gets as much as B and C together, B gets Rs.125 more than C and D gets as much as C. What is A's share?

A bonus of Rs.1000 is to be divided among three people so that Rohit receives twice as much as Sachin, who receives one-fifth as much as Gagan. How much money should Gagan receive?

Three boys agree to divide a bag of marbles in the following manner. The first boy takes one more than half the marbles. The second takes a third of the number remaining. The third boy finds that he is left with twice as many marbles as the second boy. The original number of marbles

A man has divided his total money in his will in such a way that half of it goes to his wife,rd of the remaining among his three sons equally and the rest among his four daughters equally. If each daughter gets Rs. 20,000, how much money will each son get?