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The sum of two number is 50 . If twice the large is substracted from four times the smaller the result is 8. Find the two number?
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The sum of two number is 50 . If twice the large is substracted from f...
Given Information:
The sum of two numbers is 50.
Twice the larger number subtracted from four times the smaller number equals 8.
To Find:
The two numbers that satisfy the given conditions.
Let's Assume:
Let the two numbers be x and y, where x is the larger number and y is the smaller number.
Forming Equations:
From the given information, we have:
1. x + y = 50 (Sum of the two numbers is 50)
2. 4y - 2x = 8 (Twice the larger subtracted from four times the smaller is 8)
Solving the Equations:
From equation 1, we can express x in terms of y:
x = 50 - y
Substitute x = 50 - y into equation 2:
4y - 2(50 - y) = 8
4y - 100 + 2y = 8
6y - 100 = 8
6y = 108
y = 18
Substitute y = 18 into x = 50 - y:
x = 50 - 18
x = 32
Final Answer:
The two numbers are 32 and 18, where 32 is the larger number and 18 is the smaller number.
The sum of two numbers is 50.
Twice the larger number subtracted from four times the smaller number equals 8.
To Find:
The two numbers that satisfy the given conditions.
Let's Assume:
Let the two numbers be x and y, where x is the larger number and y is the smaller number.
Forming Equations:
From the given information, we have:
1. x + y = 50 (Sum of the two numbers is 50)
2. 4y - 2x = 8 (Twice the larger subtracted from four times the smaller is 8)
Solving the Equations:
From equation 1, we can express x in terms of y:
x = 50 - y
Substitute x = 50 - y into equation 2:
4y - 2(50 - y) = 8
4y - 100 + 2y = 8
6y - 100 = 8
6y = 108
y = 18
Substitute y = 18 into x = 50 - y:
x = 50 - 18
x = 32
Final Answer:
The two numbers are 32 and 18, where 32 is the larger number and 18 is the smaller number.
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The sum of two number is 50 . If twice the large is substracted from four times the smaller the result is 8. Find the two number?
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The sum of two number is 50 . If twice the large is substracted from four times the smaller the result is 8. Find the two number? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The sum of two number is 50 . If twice the large is substracted from four times the smaller the result is 8. Find the two number? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of two number is 50 . If twice the large is substracted from four times the smaller the result is 8. Find the two number?.
The sum of two number is 50 . If twice the large is substracted from four times the smaller the result is 8. Find the two number? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The sum of two number is 50 . If twice the large is substracted from four times the smaller the result is 8. Find the two number? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of two number is 50 . If twice the large is substracted from four times the smaller the result is 8. Find the two number?.
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