Question

the sum of two number is 60 and the diffrence between them is 20.find the number

Answer 1

$\Large{\textbf{\underline{\underline{According\;to\;the\;Questions}}}}$

Given,

$\textbf{\underline{Sum\;of\;two\;number\;is\;60}}$

$\textbf{\underline{Difference\;is\;20}}$

Assume

Number be x and y respectively

So,

x + y = 60 ....... (1)

x - y = 20 ........... (2)

$\Large{\boxed{\bigstar{{Adding\;both\;Equation :-}}}}$

x + y + (x - y) = 60 + 20

x + y + x - y = 60 + 20

2x = 60 + 20

2x = 80

$\rm \: \: \: \: \: \: \: \: \:x=\dfrac{\cancel{80}}{\cancel{2}}$

x = 40

Hence,

$\Large{\boxed{\bigstar{{First\;number= 40}}}}$

$\Large{\boxed{\bigstar{{Second\;number:-}}}}$

x + y = 60

40 + y = 60

y = 60 - 40

y = 20

Therefore,

$\huge{\boxed{\sf\:{First\;number = 40\;and\;Second\;number = 20}}}$