Exercise

Solve:
$x+y=6$
$x-y=2$

The sum of father's age and twice the age of his son is $70 .$ If we double the age of the father and add it to the age of his son the sum is $95 .$ Find the present age of the father.

If $x+y=5$ and $x-y=1$, then find the value of $x$.

Two types of boxes $A, B$ are to be placed in a truck having capacity of $10$ tons. When $150$ boxes of type $A$ and $100$ boxes of type$B$ are loaded in the truck, it weighs $10$ tons. But when $260$ boxes of type $A$ are loaded in the truck, it can still accommodate $40$ boxes of type $B$, so that it is fully loaded. Find the weight of each type of box.

Two numbers differ by $3$. The sum of twice the smaller number and thrice the greater number is $19 .$ Find the numbers.

Solve the following simultaneous equations.

$49 x-57 y=172 ; 57 x-49 y=252$

The sum of father's age and twice the age of his son is $70 .$ If we double the age of the father and add it to the age of his son the sum is $95 .$ Find their present ages.

Complete the following.