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The sum of two numbers is 2490.If 6.5% of one number is equal to 8.5% of the other.Find the numbers.?
Verified Answer
The sum of two numbers is 2490.If 6.5% of one number is equal to 8.5% ...
Given: sum of two numbers = 2490
Let one no. = x
and
other no. = y
Therefore, acc. to the ques,
x+y=2490
⇒y=2490-x....(i)
Now,
if 6.5% of one number is equal to 8.5%of the other,
then
0.065x=0.085y....(ii)
Using (i) in (ii), we get,
0.065x=0.085(2490-x)
⇒0.065x=211.65-0.085x
⇒0.065x+0.085x=211.65
⇒0.15x=211.65
⇒x=211.65/0.15
⇒x=1411
Put the value of x=1411 in (i), we get,
⇒y=2490-1411
⇒y=1079
Hence, one number, x= 1411 and
other number, y=1079
This question is part of UPSC exam. View all Class 8 courses
Most Upvoted Answer
The sum of two numbers is 2490.If 6.5% of one number is equal to 8.5% ...
Given Data:
- Let the two numbers be x and y
- x + y = 2490
- 6.5% of x = 8.5% of y
Equations to Solve:
1. x + y = 2490
2. 0.065x = 0.085y
Solving the Equations:
- From equation 1, we have x = 2490 - y
- Substitute x in equation 2: 0.065(2490 - y) = 0.085y
- Simplify: 161.85 - 0.065y = 0.085y
- Rearrange: 0.065y + 0.085y = 161.85
- Combine like terms: 0.15y = 161.85
- Solve for y: y = 161.85 / 0.15 = 1079
- Substitute y back into x + y = 2490: x = 2490 - 1079 = 1411
Result:
- The two numbers are 1411 and 1079.
- Let the two numbers be x and y
- x + y = 2490
- 6.5% of x = 8.5% of y
Equations to Solve:
1. x + y = 2490
2. 0.065x = 0.085y
Solving the Equations:
- From equation 1, we have x = 2490 - y
- Substitute x in equation 2: 0.065(2490 - y) = 0.085y
- Simplify: 161.85 - 0.065y = 0.085y
- Rearrange: 0.065y + 0.085y = 161.85
- Combine like terms: 0.15y = 161.85
- Solve for y: y = 161.85 / 0.15 = 1079
- Substitute y back into x + y = 2490: x = 2490 - 1079 = 1411
Result:
- The two numbers are 1411 and 1079.
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The sum of two numbers is 2490.If 6.5% of one number is equal to 8.5% of the other.Find the numbers.?
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The sum of two numbers is 2490.If 6.5% of one number is equal to 8.5% of the other.Find the numbers.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The sum of two numbers is 2490.If 6.5% of one number is equal to 8.5% of the other.Find the numbers.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of two numbers is 2490.If 6.5% of one number is equal to 8.5% of the other.Find the numbers.?.
The sum of two numbers is 2490.If 6.5% of one number is equal to 8.5% of the other.Find the numbers.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about The sum of two numbers is 2490.If 6.5% of one number is equal to 8.5% of the other.Find the numbers.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of two numbers is 2490.If 6.5% of one number is equal to 8.5% of the other.Find the numbers.?.
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