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‘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?

Solution:

It is given that

a and b are two different numbers taken from the numbers 1-50

Consider a = 50 and b = 1

(a - b)/ (a + b) = (50 - 1)/ (50 + 1)

= 49/51 which is the largest value

In the same way

Consider a = 50 and b = 49

(a + b)/ (a - b) = (50 + 49)/ (50 - 49)

= 99/1

= 99 which is the largest value

Therefore, the largest value that (a - b)/ (a + b) can have is 49/51 and the largest value that (a + b)/ (a - b) can have is 99.

✦ Try This: ‘a’ and ‘b’ are two different numbers taken from the numbers 1 - 20. What is the largest value that (a - b)/ (a + b) can have? What is the largest value that (a + b)/ (a - b) can have?

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 9

NCERT Exemplar Class 7 Maths Chapter 8 Problem 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?

Summary:

‘a’ and ‘b’ are two different numbers taken from the numbers 1 - 50. The largest value that (a - b)/ (a + b) can have is 49/51 and the largest value that (a + b)/ (a - b) can have is 99

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