The sum of two numbers is 29 and the difference of their square is 145. Find their difference.
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The sum of two numbers is 29 and the difference of their square is 145. Find their difference.

The sum of two numbers is 29 and the difference of their square is 145. Find their difference.
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The sum of the two numbers is 29 and the difference of their square is 145. Find their difference.

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SOLUTION —

Let the number be a and b 

∴ According to the question,

   a + b = 29      .......... (1)

and a2 - b2 =145    ..........(2)

We know that,

also  a2 - b2 = ( a + b ) ( a - b)

⇒ 145 = 29 (a - b)

∴ a - b = 145 / 29 = 5

Hence, Their difference is 5

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