Q. 34.5( 65 Votes )

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 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 Sundargarm 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 :


i. In the first part:


Let the marbles of Parmit be x


Now,


5 times the number of marbles Parmit has = 5x


Therefore,


According to the condition given in the question:


5x + 7 = 37


5x = 37 – 7


5x = 30


Now,


We have to divide both sides by 5, we get:


=


5x = 30


Therefore,


x = 6


(ii) Here,


As per the question,


Let Laxmi’s age be x years,


Now,


3 × Laxmi’s age + 4 = Her father’s age


We can write it as:


3x + 4 = 49


3x = 49 – 4


3x = 45


Now,


Dividing both sides by 3, we get:



Thus,


x = 15


Hence,


Laxmi’s age is 15 years


(iii) Here,


As per the question,


Let the number of fruit trees be x,


Now,


3 × number of fruit trees + 2 = Number of non-fruit trees


We can write this as,


3x + 2 = 77


3x = 77 – 2


3x = 75


Now,


Dividing both sides by 3, we get:



Thus,


x = 25


Hence,


The number of fruit trees was 25.

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