Question

difference between two number is4 and the differenc e between their squares is 80 find the number​

Answer 1

Answer:

hope that it is helpful

Answer 2

given.

➝difference between two numbers is $\sf\green{</em><em>4</em><em>}$

➝ their squares is $\sf\green{</em><em>8</em><em>0</em><em>}$

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To Find.

➝ numbers ?

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$\huge\sf\underline{\underline{\green{solution}}}$

☞ $\textit{let the number be 'x' and 'y'}$

☞ $\textit{according to first condition}$

➝$\sf\green{ x - y = 4}$__ ( i )

☞ $\textit{according to second condition}$

➝$\sf\green{(x )^2 -( y )^2 = 80}$___( ii )

☞$\textit{Now according to equation( i )}$

➝$\sf\green{ x - y = 4}$

➝$\sf\green{ x = 4 + y}$

☞ $\textit{putting value of x in equation( ii )}$

➝$\sf\green{ (x)^2 - ( y )^2 = 80}$

➝$\sf\green{(4 +y)^2 - y^2 = 80}$

➝$\sf\green{( 4 )^2 +( y)^2-2.4.y - y^2= 80}$

➝$\sf\green{16 + y^2 - 8y - y2 = 80}$

➝$\sf\green{16 - 8y = 80}$

➝$\sf\green{8y = 80-16}$

➝$\sf\green{ y = 64/ 8}$

➝$\sf\green{ y = 8}$

☞$\textit{ putting value of y in equation ( i )}$

➝$\sf\green{ x - ( 8) = 4}$

➝$\sf\green{ x = 4+8}$

➝$\sf\green{ x = 12}$

$\huge\sf\underline{\underline{\red{AnsWeR}}}$

$\sf\green{ x = 12, and y = 8}$