Question

if the sum of two number is 17 and their difference is 5 then find the difference between their squares
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Answer 1

Answer:

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Answer 2

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★ The sum of two numbers is 17 and their Difference is 5 , then find the difference between their squares .

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★ Given :

• Sum of the two numbers = 17
• Difference of the two numbers = 5

★ To Find :

• The difference between their squares = ?

★ Solution :

Let the numbers be “ x and y ”

So ,

According to the Question ,

$\mapsto \boxed{\rm \: x + y = 17}$

So ,

$\implies \rm \: x = 17 - y.....(i)$

Now ,

We also know that ,

$\mapsto \boxed{ \rm \: x - y = 5}$

Put the value of “x” from equation (i)

$\implies \rm \: 17 - y - y = 5$

$\implies \rm \: 17 - 2y = 5$

$\implies \rm \: 17 - 5 = 2y$

$\implies \rm \: \cancel2y = \cancel{12}$

$\implies \boxed{\rm \: y = 6}$

Now ,

put the value of “y” in equation(i)

$\implies \rm \: x = 17 - y$

$\implies \rm \: x = 17 - 6$

$\implies \boxed{ \rm \: x = 11}$

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So ,

$\star{ \boxed{ \sf \: the \: numbers \: are \: \underline{11} \: and \: \underline6}}$