HARD
10th CBSE
IMPORTANT
Earn 100

Five years hence, a man’s age will be three times the sum of the age of his son. Five years ago, the man was seven times as old as his son. Find their present ages

Important Questions on Linear Equations in Two Variables

HARD
10th CBSE
IMPORTANT
Two years ago, a man was five times as old as his son. Two years later, his age will be 8 more than three times the ago of the son. Find the present ages of the man.
MEDIUM
10th CBSE
IMPORTANT
If twice the son’s age in years is added to the father’s age, the sum is 70. But, if twice the father’s age is added to the son’s age, the sum is 95. Find the ages of father and son.
MEDIUM
10th CBSE
IMPORTANT
The present age of a woman is 3 years more than three times the age of her daughter. Three years hence, the woman’s age will be 10 years more than twice the age of her daughter. Find their present ages.
MEDIUM
10th CBSE
IMPORTANT
On selling a tea-set at 5% loss and a lemon-set at 15% gain, a crockery seller gains 7. If he sells the tea-set at 5% gain and the lemon-set at 10% gain, he gains 13. Find the actual price of each of the tea-set and that of the lemon-set.
MEDIUM
10th CBSE
IMPORTANT
A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Mona paid 27 for a book kept for 7 days, while Tanvy paid 21 for the book she kept for 5 days. Find the fixed charge and the charge for each extra day
MEDIUM
10th CBSE
IMPORTANT
A chemist has one solution containing 50% acid and a second one containing 25% acid. How much of each should be used to make 10 litres of a 40% acid solution?
MEDIUM
10th CBSE
IMPORTANT

A jeweler has bars of 18-carat gold and 12- carat gold. How much of each must be melted together to obtain a bar of 16-carat gold, weighing 120 gm? (Given: Pure gold is 24-carat).

MEDIUM
10th CBSE
IMPORTANT
90% and 97% pure acid solutions are mixed to obtain 21 litres of 95%  pure acid solution. Find the quantity of each type of acids to be mixed to form the mixture.