Question 103 -a- and -b- are two different numbers taken from the numbers 1-50 - What is the largest value that a - b - a - b can have- What is the largest value that a - b - a - b can have-

Given a and b are two different numbers between 1 to 50. Let a = 50 and b = 1 ∴ a b/a+b = 50 1/50+1 = 49/51, which is the largest value. Similarly Let a = 50 an ...

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Standard VI

Mathematics

Formation of Algebraic Expressions

Question 103 ...

Question

Question 103

'a' and 'b' are two different numbers taken from the numbers 1-50. What is the largest value that $\frac{a - b}{a + b}$ can have? What is the largest value that $\frac{a + b}{a - b}$ can have?

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Solution

Given a and b are two different numbers between 1 to 50.
Let a = 50 and b = 1
$∴ \frac{a - b}{a + b} = \frac{50 - 1}{50 + 1} = \frac{49}{51}$ , which is the largest value.
Similarly

Let a = 50 and b = 49
$∴ \frac{a + b}{a - b} = \frac{50 + 49}{50 - 49} = \frac{99}{1}$ , which is the largest value.

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Question 103 'a' and 'b' are two different numbers taken from the numbers 1-50. What is the largest value that a−ba+b can have? What is the largest value that a+ba−b can have?

Given a and b are two different numbers between 1 to 50. Let a = 50 and b = 1 ∴ a−ba+b=50−150+1=4951, which is the largest value. Similarly Let a = 50 and b = 49 ∴a+ba−b=50+4950−49=991, which is the largest value.

Question 103

'a' and 'b' are two different numbers taken from the numbers 1-50. What is the largest value that $\frac{a - b}{a + b}$ can have? What is the largest value that $\frac{a + b}{a - b}$ can have?