F4 Maths Formulating Simulaneous Equations, One Linear and One Quadratic

Jacky0509

1. A two-digit positive number is increased by 18 if the digits are reversed. The product of these two numbers is 1855. Find the original number.

2. A boy is twice as old as his younger brother. After four years, the sum of the squares of their ages is 277. Find their present ages.

3. The perimeter of a rectangle with dimensions 4cm by x cm is 18cm greater than that of a square. If they have equal areas, find

(a)the length of a side of the square,
(b)the value of x.