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(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 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) Ibenhal 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 52 of the numbers, the result is 23.

Answer :

(a) Let the required number be x.

According to question,

8x +4 = 60

= 8x = 60 -4

= x = 56 /8

= x = 7

(b) Let the required number be x.

According to question,

(1/5)x - 4 = 3

= (1/5)x = 3+4

= x = 7 ×5 = 35

= x = 35

(c) Let the required number be x.

According to question,

(3/4)x +3 = 21

= (3/4)x = 21-3

= x = (18 ×4)/3 = 24

= x = 24

(d) Let the required unknown number be x.

According to question,

2x-11= 15

= 2x = 15+11

= x = 26 /2 = 13

= x =13

(e) Let the required number be x.
According to question,

50 - 3x = 8

= -3x = 8 - 50

= x = -42 / -3 = 14

= x = 42

(f) Let the required number be x.

According to question,

( x+19)/5=8

= x +19 = 8×5

= x = 40 -19

= x= 21

(g) Let the required number be x.

According to question,

(5/2)x =23 +7

= (5/2)x = 30

= x = (30×2)/5

= x = 12

- Q.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 angle 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?
- Q.3 (i) Irfan says that he has 7 marbles more than five times the marbles Parmit has. Irfan has 37 marbles. How many marbles does Parmit 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 a 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 trees planted if the number of non-fruit trees planted was 77?
- Q.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!

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