**Simple Equations**

**Question 1.****Set up equations and solve them to find the unknown numbers in the following cases :(a)** Add 4 to eight times a number; you get 60.

**(b)**One fifth of a number minus 4 gives 3.

**(c)**If I take three fourths of a number and add 3 to it, I get 21.

**(d)**When I subtracted 11 from twice a number, the result was 15.

**(e)**Munna subtracts thrice the number of notebooks he has from 50, he finds the result to be 8.

**(f)**Bengal thinks of a number. If she adds 19 to it and divides the sum by 5, she will get 8.

**(g)**Anwar thinks of a number. If he takes away 7 from of the number, the result is 23.

**Solution:****(a)** Let x be the required number. Then, the required equation is

**(b)** Let x be the required number. Then, the required equation is – 4 = 3.

**(c)** Let y be the required number. Then, the required equation be + 3 = 21

**(d)** Let the required number be m. Then, the required equation is 2m -11 = 15

**(e)** Let Munna have x notebooks. Then, the required equation is 50 – 3x = 8

**(f)** Let the number be x. Then, the required equation is

**(g)** Let the number be n. Then, the required equation is

**Question 2.****Solve the following :**

**(a)** The teacher tells the class that the highest marks obtained by a student in her class is twice the lowest marks plus 7. The highest score is 87. What is the lowest score?

**(b)** In an isosceles triangle, the base angles are equal. The vertex angle is 40°. What are the base angles of the triangle? (Remember, the sum of three angles of a triangle is 180°).

**(c)** Sachin scored twice as many runs as Rahul. Together, their runs fell two short of a double century. How many runs did each one score?

**Solution:**

**Question 3.****Solve the following :(i)** Irfan says that he has 7 marbles more than five times the marbles Pannit has. Irfan has 37 marbles. How many marbles does Permit have?

**(ii)**Laxmi’s father is 49 years old. He is 4 years older than three times Laxmi’s age. What is Laxmi’s age?

**(iii)**People of Sundargram planted trees in the village garden. Some of the trees were fruit trees. The number of non-fruit trees were two more than three times the number of fruit trees. What was the number of fruit tree planted if the number of non-fruit trees planted was 77?

**Solution:**

**Question 4.****Solve the following riddle :**I am a number,

Tell my identity!

Take me seven times over

And add a fifty!

To reach a triple century

You still need forty!

**Solution:**