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?
Solution:
First, we formulate the word problems in terms of linear equations in one variable.
Then, we use the concepts of simple linear equations and fundamental operations like addition, subtraction, multiplication and division to solve the problem.
(a) Number of marbles Irfan has 37. Let the number of marbles Parmit has be x.
According to question,
5x + 7 = 37
5x = 30
x = 30/5 = 6
Therefore, Parmit has 6 marbles
(b) Let the age of Laxmi be x. Age of Laxmi’s father be 49 years
According to question,
3x + 4 = 49
3x = 49 – 4 = 45
x = 45/3 = 15
Therefore, Laxmi’s age is 15 years
(c) Let the number of fruit tress be x. Then the number of non-fruit
trees are 3x + 2
According to question,
3x + 2 = 77
3x = 77 − 2 = 75
x = 75/3 = 25
The number of fruit trees planted are 25.
☛ Check: NCERT Solutions for Class 7 Maths Chapter 4
Video Solution:
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?
NCERT Solutions for Class 7 Maths Chapter 4 Exercise 4.4 Question 3
Summary:
(i) Irfan says that he has 7 marbles more than five times the marbles Parmit has. Irfan has 37 marbles. Parmit has 7 marbles. (ii) Laxmi’s father is 49 years old. He is 4 years older than three times Laxmi’s age. Laxmi’s age is 15 years. (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. The number of fruit trees planted is 25 if the number of non-fruit trees planted was 77.
☛ Related Questions:
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