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two numbers are in lthe ratio 3 : 4 if threre L C M is 180 find the number
Verified Answer
two numbers are in lthe ratio 3 : 4 if threre L C M is 180 find the ...
Let the 2 numbers be 3x and 4x and HCF be x.
Using formula, aXb = LCM X HCF
3x X 4x = 180 X x
12x^2 = 180x
x = 180/12
x = 15
a = 3x = 3X15 = 45
b = 4x = 4X15 = 60
HCF = x = 15
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Most Upvoted Answer
two numbers are in lthe ratio 3 : 4 if threre L C M is 180 find the ...
Given:
Two numbers are in the ratio 3:4.
The product of the two numbers is 180.
To find:
The two numbers.
Solution:
To find the two numbers, we can follow these steps:
Step 1: Set up the ratio equation
Let the two numbers be 3x and 4x, where x is a constant.
So, the ratio equation becomes:
3x : 4x
Step 2: Use the given information to form an equation
According to the given information, the product of the two numbers is 180.
So, we can write the equation as:
3x * 4x = 180
Step 3: Solve the equation
Multiplying the terms on the left side of the equation, we get:
12x^2 = 180
Dividing both sides of the equation by 12, we get:
x^2 = 15
Taking the square root of both sides, we get:
x = √15
Step 4: Substitute the value of x in the ratio equation
Substituting the value of x in the ratio equation, we get:
3x = 3 * √15
4x = 4 * √15
So, the two numbers are:
3 * √15 and 4 * √15
Two numbers are in the ratio 3:4.
The product of the two numbers is 180.
To find:
The two numbers.
Solution:
To find the two numbers, we can follow these steps:
Step 1: Set up the ratio equation
Let the two numbers be 3x and 4x, where x is a constant.
So, the ratio equation becomes:
3x : 4x
Step 2: Use the given information to form an equation
According to the given information, the product of the two numbers is 180.
So, we can write the equation as:
3x * 4x = 180
Step 3: Solve the equation
Multiplying the terms on the left side of the equation, we get:
12x^2 = 180
Dividing both sides of the equation by 12, we get:
x^2 = 15
Taking the square root of both sides, we get:
x = √15
Step 4: Substitute the value of x in the ratio equation
Substituting the value of x in the ratio equation, we get:
3x = 3 * √15
4x = 4 * √15
So, the two numbers are:
3 * √15 and 4 * √15
Community Answer
two numbers are in lthe ratio 3 : 4 if threre L C M is 180 find the ...
15 and 12
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two numbers are in lthe ratio 3 : 4 if threre L C M is 180 find the number Related: What are Rational Numbers?, Rational Numbers, Class 7 Math for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about two numbers are in lthe ratio 3 : 4 if threre L C M is 180 find the number Related: What are Rational Numbers?, Rational Numbers, Class 7 Math covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for two numbers are in lthe ratio 3 : 4 if threre L C M is 180 find the number Related: What are Rational Numbers?, Rational Numbers, Class 7 Math.
two numbers are in lthe ratio 3 : 4 if threre L C M is 180 find the number Related: What are Rational Numbers?, Rational Numbers, Class 7 Math for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about two numbers are in lthe ratio 3 : 4 if threre L C M is 180 find the number Related: What are Rational Numbers?, Rational Numbers, Class 7 Math covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for two numbers are in lthe ratio 3 : 4 if threre L C M is 180 find the number Related: What are Rational Numbers?, Rational Numbers, Class 7 Math.
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