(a) The sum of two numbers is 34 . If 3 is subtracted from one number and 2 is added to another, the product of these two numbers becomes 260. Find the numbers.OR(b) The hypotenuse (in $\mathrm{cm}$ ) of a right angled triangle is $6\ \mathrm{cm}$ more than twice the length of the shortest side. If the length of third side is $6\ \mathrm{cm}$ less than thrice the length of shortest side, then find the dimensions of the triangle.