Question

50^2 -49^2= (2a-49),a=?​

Answer 1

Step-by-step explanation:

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Answer 2

The value of a will be 74.

Given,

50² - 49² = 2a - 49

To Find,

The value of a

Solution,

This question can be solved by 2 methods -

Method 1 -

50² - 49² = 2a - 49

50² = 2500

49² = 2401

2500 - 2401 = 2a - 49

99 + 49 = 2a

a = 148/2 = 74

Method 2 -

Using the identity -

x² - y² = (x+y)(x-y)

Here, x = 50 and y = 49

50² - 49² = (50 + 49)(50 - 49) = 2a - 49

99 * 1 = 2a - 49

2a = 99 + 49 = 148

a = 148/2 = 74

Hence, the value of a is 74.

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