From the pair of linear equations in the following problems and find their solutions (if they exist) by elimination method : 2 men and 5 women can do a piece of work in 4 days. While 4 men and 4 women can finish it in 3 days. How long would it take 1 man to do it ? How long would it take 1 woman to do it ?

2 men and 5 boys can do a piece of work in 4 days, while 4 men and 4 boys can do it in 3 days. How long would it take one man alone to do it and how many days would it take one boy alone to do it ?

From the pair of linear equations in the following problems and find their solutions (if they exist) by elimination method : There are rs 2 and rs 5 coins in a purse. If there are 60 coins of value rs 195, find the number of coins of each kind.

From the pair of linear equations in the following problems and find their solutions (if they exist) by elimination method : I am three times as old as my son. Five year later, I shall be two and a half times as old as my son. How old am I and how old is my son ?

2 men and 7 boys can do a piece of work in 4 days. The same work is done in 3 days by 4 men and 4 boys. How long would it take one man and one boy alone to do it ?

From the pair of linear equations in the following problems and find their solutions (if they exist) by elimination method : Find the fraction which becomes equal to 1/3 when the numerator is increased by 1 and equal to 1/4 when denominator is increased by 1.

From the pair of linear equations in the following problems and find their solutions (if they exist) by elimination method : A man wanted to exchange Rs 1000 in 2 types of notes of Rs 5 and Rs 10 denominations. If he has 180 notes in all, find the number of notes of each kind.

From the pair of linear equations in the following problems and find their solutions (if they exist) by elimination method : If we add 3 to the numerator and subtract 2 from the denominator, a fraction becomes 2. It also becomes 1/2 if we add 1 to the denominator. Find the fraction.

8 men and 12 boys can finish a piece of work in 10 days while 6 men and 8 boys can finish it in 14 days. Find the time taken by a man alone and that by 1 boy alone to finish the work.

From the pair of linear equations in the following problems and find their solutions (if they exist) by elimination method : In an examination the ratio of passes to failures was 4:1. Had 30 less appeared and 20 less passed, the ratio of passes to failures would have been 5:1. How many students appeared for the examination ?

From the pair of linear equations in the following problems and find their solutions (if they exist) by elimination method : A part of monthly hostel charges in a college are fixed and remaining depend on number of days one has taken food in the mess. When a student A takes food for 20 days, he has to pay rs 1000 as hostel charges whereas student B who takes food for 26 days has to pay rs 1180 as hostel charges. Find fixed charges and cost of food per day.