Problems

**__USING EQUATIONS TO SOLVE PROBLEMS__**
1. I multiply a number by 3 and add 4 to the result. The answer is the same as when I multiply the number by 5 and subtract 44 from the result. Find the number. 2. Rashid is 34 years older than his daughter. He is also 3 times as old as she is. Find Rashid's age. 3. The width of a rectangle is 5 cm less than its length. The perimeter of the rectangle is 58 cm. Find its length. 4. The sum of two numbers is 46. Their difference is 42. Find the numbers. 5. Find two consecutive integers whose reciprocals add up to 9/20. 6. The sum of three consecutive odd numbers is 93. Find the largest of these numbers. 7. The sum of the present ages of Mrs Banerji and her daughter is 55 years. Five years ago, Mrs Banerji was 4 times as old as her daughter. Find Mrs Banerji's present age. 8. The hypotenuse of a right-angled triangle is 2x cm. The lengths of the other two sides are (x+1) cm and (x+3) cm. Calculate the value of x. 9. In class 3º A, the heights of five people were measured and the mean was found to be 1.5 m. Four people's heights were: 1.65 m, 1.45 m, 1.6 m, 1.4 m. What was the height of the fifth person? 10.The length of a rectangular piece of carpet is 4 m longer than its width. The area of the carpet is 16 m2. Calculate the width of the carpet. Give your answer to the nearest centimetre. 11.The sum of three consecutive numbers is 45. Find the numbers. 12.In two years' time I will be 3 times as old as I am now. How old am I?