
In a class test, the sum of Arun’s marks in hindi and English is 30. Had he got 2 marks more in Hindi and 3 marks less in English , the product of the marks would have been 210. Find his marks in the two subjects.
Answer
494.1k+ views
3 likes
Hint: Assume the marks scored by Arun in Hindi and English. Then make the linear equations of marks according to the given conditions. At last solve the linear equations to get the assumed marks.
Complete step-by-step answer:
Lets say Arun scored marks in Hindi = x
And he scored marks in English = y
He scored total marks in hindi and English = 30
.....(1)
If arun scored two marks more in hindi than his score would be
If he scored 3 marks less in English than his score would be
Product of the marks would be 210
.........(2)
Solving equation 1 and 2
We will find the value of y from equation 1 and put that value in equation 2
Put value of y in equation 2
x = 12 and x =13
Since we took 2 variables so definitely we will get two values so Arun scored either 12 or 13 in hindi and similarly if he scored 12 in hindi than his score in English 18 and if he scored 13 in hindi then his score in English is 17.
Note: Revise the concept to represent the given conditions in linear equations. Also revise the methods to solve a system of linear equations with two variables.If the quadratic equation so formed cannot be solved by splitting middle term once can use sridharas method.
Complete step-by-step answer:
Lets say Arun scored marks in Hindi = x
And he scored marks in English = y
He scored total marks in hindi and English = 30
If arun scored two marks more in hindi than his score would be
If he scored 3 marks less in English than his score would be
Product of the marks would be 210
Solving equation 1 and 2
We will find the value of y from equation 1 and put that value in equation 2
Put value of y in equation 2
x = 12 and x =13
Since we took 2 variables so definitely we will get two values so Arun scored either 12 or 13 in hindi and similarly if he scored 12 in hindi than his score in English 18 and if he scored 13 in hindi then his score in English is 17.
Note: Revise the concept to represent the given conditions in linear equations. Also revise the methods to solve a system of linear equations with two variables.If the quadratic equation so formed cannot be solved by splitting middle term once can use sridharas method.
Recently Updated Pages
Master Class 9 General Knowledge: Engaging Questions & Answers for Success

Master Class 9 English: Engaging Questions & Answers for Success

Master Class 9 Science: Engaging Questions & Answers for Success

Master Class 9 Social Science: Engaging Questions & Answers for Success

Master Class 9 Maths: Engaging Questions & Answers for Success

Class 9 Question and Answer - Your Ultimate Solutions Guide

Trending doubts
Difference Between Plant Cell and Animal Cell

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

What is the Full Form of ISI and RAW

Discuss what these phrases mean to you A a yellow wood class 9 english CBSE

Name 10 Living and Non living things class 9 biology CBSE

Name the states which share their boundary with Indias class 9 social science CBSE
