Question

2
1 The sum of two numbers is 50 and their difference is 16. Find the numbers.
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Answer 1

Question:-

The sum of the two number is 50 and their difference is 16.Find the numbers.

Solution:-

${\tt{\pink{Let\: the\: numbers\: be\: x \:and \:y ,}}}$

${\tt{\pink{A/Q,}}}$

${\tt{\red{x+y =50,}}} ---------(l)$

${\tt{\red{And\: x-y = 16}}}$

${\tt{\red{x+y = 16}}} --------(ll)$

${\tt{\blue{putting\: the\: value\: x\:in\: eq(I),\: we\: get, }}}$

$\leadsto{\tt{\blue{16+y+y =50}}}$

$\leadsto{\tt{\blue{16+2y=50}}}$

$\leadsto{\tt{\blue{2y=50-16}}}$

$\leadsto{\tt{\green{2y= 34}}}$

$\leadsto{\tt{\green{y =17}}}$

${\tt{\blue{\:Therefore,\:x= 16+y =16+17 }}}$

$\leadsto{\tt{\blue{x=33}}}$

$\longrightarrow{\tt{\orange{\:Therefore \: the \: numbers \: are\: 33\: and\: 17}}}$