
What number should be added to the terms of 49:68 to get the ratio 3: 4?
Answer
534k+ views
1 likes
Hint: A ratio is a number, which expresses one quantity as a fraction of the other. In this question, the number x is added to the given term in both numerator and denominator simultaneously.
Complete step-by-step answer:
A ratio is a mathematical term that is used to compare the size of one number to the size of another number. It is commonly used in mathematics. Ratios are usually shown as two or more numbers separated with a colon, for example, 8:5 or 1:4 or 3:2:1.
The given term is and let the number is to be added be x to get the ratio 3:4.
Taking the cross multiplication, we get
4(49+x) = 3(68+x)
Open the brackets, we get
196+ 4x = 204+3x
Rearranging the terms, we get
4x-3x = 204 – 196
x = 8
Hence x= 8 should be added to the terms of 49:68 to get the ratio 3:4.
Note: The possibility for the mistake is that you might get confused with the task is to find the number X which when added to the numbers a and b the ratio changes from a: b to c: d.
Approach: Old ratio is a : b and new ratio is c : d. Let the required number be X,
So, or ad + dX = bc + cX or X(d – c) = bc – ad. So, .
Complete step-by-step answer:
A ratio is a mathematical term that is used to compare the size of one number to the size of another number. It is commonly used in mathematics. Ratios are usually shown as two or more numbers separated with a colon, for example, 8:5 or 1:4 or 3:2:1.
The given term is
Taking the cross multiplication, we get
4(49+x) = 3(68+x)
Open the brackets, we get
196+ 4x = 204+3x
Rearranging the terms, we get
4x-3x = 204 – 196
x = 8
Hence x= 8 should be added to the terms of 49:68 to get the ratio 3:4.
Note: The possibility for the mistake is that you might get confused with the task is to find the number X which when added to the numbers a and b the ratio changes from a: b to c: d.
Approach: Old ratio is a : b and new ratio is c : d. Let the required number be X,
So,
Latest Vedantu courses for you
Grade 7 | CBSE | SCHOOL | English
Vedantu 7 CBSE Pro Course - (2025-26)
School Full course for CBSE students
₹45,300 per year
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
What is the Full Form of ISI and RAW

Which of the following districts of Rajasthan borders class 9 social science CBSE

Difference Between Plant Cell and Animal Cell

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

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

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