Question

The sum of two number is 84 if two numbers are in ratio 4:3

Answer 1

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Answer 2

$\bold{RATIO}$

$\textsf{Ratio \: is \: the \: relationship \: between }$ $\textsf{numbers, \: which\: compares \: them .}$

$\textsf{Ratio \: are \: written \: as \: A:B }$

$\bold{GIVEN}$

$\textsf{Let \: the \: two \: numbers \: A \: and \: B}$

$\textsf{So, }$

$\textsf{A \: and \: B \: in \: ratio \: 4 :3}$

$\textsf{Let \: the \: common \: raytio \: be \: x}$

$\textsf{Ratio \: becomes \: 4x \: and \: 3x}$

$\huge \textsf{ACCORDING \: TO \: QUESTION }$

$\textsf{Sum \: of \: A \: and \: B \: is \: 84 }$

$\mathsf{4x + 3x = 84}$

$\mathsf{7x = 84}$

$\mathsf{x = \frac{84}{7}}$

$\huge \boxed{\mathsf{x = 12}}$

$\textsf{So \: the \: numbers \: are}$

$\boxed {\mathsf{A = 4 \times 12 = 48}}$

$\boxed {\mathsf{B = 3 \times 12 = 36}}$