Given, the ages of two sisters are 11 years and 14 years.
Leave x alone the quantity of years some other time when their result of their ages become 304.
In this way,
![\[\left( 11\text{ }+\text{ }x \right)\text{ }\left( 14\text{ }+\text{ }x \right)\text{ }=\text{ }304\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-78e9ec4954dfbcd84500ac40b87316af_l3.png "Rendered by QuickLaTeX.com")
154 + 11x + 14x + x2 = 304
![\[x2\text{ }+\text{ }25x\text{ }\text{ }150\text{ }=\text{ }0\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-196d50ad4c1841788cd475a2ff177074_l3.png "Rendered by QuickLaTeX.com")
![\[\left( x\text{ }+\text{ }30 \right)\text{ }\left( x\text{ }\text{ }5 \right)\text{ }=\text{ }0\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-4b188881bf8675158715dea2228b3be8_l3.png "Rendered by QuickLaTeX.com")
![\[x\text{ }=\text{ }-\text{ }30,\text{ }5\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-28460f56d14a715015a956ae7ef1ce50_l3.png "Rendered by QuickLaTeX.com")
As, the quantity of years can’t be negative. We just consider,
![\[x\text{ }=\text{ }5.\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-4b472db2c570a94f0f2727f01059870c_l3.png "Rendered by QuickLaTeX.com")
Accordingly, the necessary number of years is 5 years.
and 
are collinear, prove that 
and 
be three points such that area of a 
is 4 sq units, find the value of 
. for which the area of a ABC having vertices 
and 
is 35 sq units. for which the points 
and 
are collinear. for which the points 
and 
are collinear. for which the points 
and 
are collinear.
and 
and 
and 
and 
and 
and 