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 : The sum of a two digit number and another formed by reversing its digit is 99. Five added to the number yields 4 less than 6 times the sum of its digits. Determine the number.

From the pair of linear equations in the following problems and find their solutions (if they exist) by elimination method : The car hire charges in a city comprise of a fixed charges together with the charges for the distance covered. For a journey of 12 km, the charge paid is rs 89 and for a journey of 20 km, the charge paid is rs 145. What will a person have to pay for travelling a distance of 30 km?

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 : 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.

From the pair of linear equations in the following problems and find their solutions (if they exist) by elimination method : If the numerator is multiplied by 2 and denominator is reduced by 5, the fraction becomes 6/5 and if the denominator is doubled and the numerator is increased by 8, the fraction becomes 2/5 . Find the fraction

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 ?

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method :- There are some lotus flowers in a lake. If one butterfly sits on each flower, one butterfly is left behind. If two butterflies sit on each flower, one flower is left behind. What is the number of flowers ? What is the number of butterflies ?

From the pair of linear equations in the following problems and find their solutions (if they exist) by elimination method : Sarvesh and Naresh, each has some money. If Sarvesh gives ? 50 to Naresh, then Naresh will have twice the money left with Sarvesh. But if Naresh gives ? 20 to Sarvesh, then Sarvesh will have thrice as much as is left with Naresh. How much money does each have ?

From the pair of linear equations in the following problems and find their solutions (if they exist) by elimination method : The ages of two friends A and B differ by 3 years, A's father D is twice as old as A, and B is twice old as his sister C. The ages of C and D differ by 30 years. Find ages of A and B if A is elder than B.

Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method : Meena went to a bank to withdraw Rs 2000. She asked the cashier to give her Rs 50 and Rs 100 notes only. Meena got 25 notes in all. Find how many notes of Rs 50 and Rs 100 she received.