Class 9th math 1.3 solution english PCTB

Note: This is the Solution of exercise 1.3 from newly published book by PCTB (Punjab Curriculum and Textbook Board, Pakistan) for new 9th session 2025 Onward.

Exercise 1.3

Question # 01: The sum of three consecutive integers is forty two, find the three integers.

Question # 02: The diagram shows right angled \(\triangle ABC\) in which the length of \(\overline{AC}\) is \(\left(\sqrt{3}+\sqrt{5}\right)cm\). The area of \(\triangle ABC\) is \(\left(1+\sqrt{15}\right)cm^2\). Find the length \(\overline{AB}\) in the form \(\left(a\sqrt{3}+b\sqrt{5}\right)cm\), where \(a\) and \(b\) are integers.

Question # 03: A rectangle has sides of length \(2+\sqrt{18}m\) and \(\left(5-\frac{4}{\sqrt{2}}\right)m\). Express the area of the rectangle in the form \(a+b\sqrt{2}\), where \(a\) and \(b\) are integers.

Question # 04: Find two numbers whose sum is \(68\) and difference is \(22\).

Question # 05: The weather in Lahore was unusually warm during the summer of \(2024\). The TV news reported temperature as high as \(48^oC\). By using the formula, \(\left(^o F=\frac{9}{5} ^o C+32\right)\) find the temperature as Fahrenheit scale.

Question # 06: The sum of the ages of the father and son is \(72\) years. Six years ago, the father’s age was 2 times the age of the son. What was son’s age six years ago?

Question # 07: Mirha sells a toy for \(Rs.\) \(1520\). What will the selling price be to get a \(15\%\) profit?

Question # 08: The annual income of Tayyab is \(Rs.\) \(9,60,000\), while the exempted amount is \(Rs.\) \(1,30,000\). How much tax would he have to pay at the rate of \(0.75\%\)?

Question # 09: Find the compound markup on \(Rs.\) \(3,75,000\) for one year at the rate of \(14\%\) compounded annually.