(i) Irfan says that he has 7 marbles more than five times the marbles Parmit has. Irfan has 37

Question

Solve the following :

(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 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 trees planted if the number of non-fruit trees planted was 77 ?

Answer 1

(i) Let Parmits marble be x

According to the question

5x + 7 = 37

5x = 37 – 7 = 30

x = \(\frac{30}{5} = 6\)

∴ Parmits marble be = x = 6

(ii) Let the age of Laxmi be ‘x’ years

According to the question

3x + 4 = 49

3x = 49 – 4 = 45

3x = 45

x = 45/3 = 15

∴ Lakshmi’s age be x = 15 years.

(iii) Let the number of fruit trees be ‘x’

According to the question

3x + 2 = 77

3x = 77 – 2 = 75

x = \(\frac{75}{3} = 25\)

∴ No. of fruit trees = x = 25