Question

the sum of two numbers is 13 the difference is 4. what are the numbers

Answer 1

$\mathtt{SOLUTION:-}$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\mathtt\purple{CASE \: I}$

$\mathtt{SUM \: OF \: TWO \: NUMBERS \: ARE \: 13}$

$\bold\purple{x + y = 13-----EQ(i)}$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\mathtt\purple{CASE \: II}$

$\mathtt{DIFFERENCE \: OF \: T WO \: NUMBERS \: ARE \: 4}$

$\bold \purple{x - y = 4------EQ(ii)}$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\mathtt{NOW \: USE \: ELIMINATION \: METHOD}$

$\bold \purple{x + y = 13}$

$\bold \purple{x - y = 4}$

_____________

$\bold \purple{2x \: \: \: \: =17 }$

_____________

$\bold \purple{x = \frac{17}{2} }$

$\bold \purple{x = 8.5}$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\mathtt{IN \: EQUATION \: ii \: SUBSTITUTE \: THE \: VALUE \: OF \: X}$

$\bold \purple{8.5 - y = 4}$

$\bold \purple{ - y = 4 - 8.5}$

$\bold \purple{ - y = - 4 .5}$

$\bold \purple{y = 4.5}$