Question

The ratio of two numbers is 5 : 4. If the sum of both the numbers is 180, then what is the smaller number among both the numbers?

A) 100 B) 80 C) 60 D) 75

Answer 1

Answer:

see the attachment nd Mark it as brainlist answer and thanks it...

Answer 2

$\Large{\underline{\underline{\red{\mathfrak{Given:-}}}}}$

• $\rm{The\: ratio\: of \:two\: numbers\: is\: 5 : 4}$
• $\rm{The\: sum\: of \:both\: the\: numbers\: is \:180.}$

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$\Large{\underline{\underline{\pink{\mathfrak{To \: Find:-}}}}}$

$\rm{what\: is\: the\: smaller\: number \:among\: both\: the\: numbers?}$

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$\Large{\underline{\underline{\blue{\mathfrak{Solution:-}}}}}$

$\rm{Let \: the \: first\: number\: be \: 5x}$

$\rm{Let\: the\: second\: number\: be 4x}$

$\purple{\bold{\underline{\underline{According \: to \: the \: question:-}}}}$

⟾ $\rm{5x+4x=180}$

⟾ $\rm{9x=180}$

⟾ $\rm{x= \frac{180}{9}}$

⟾ $\rm{x=20}$

$\blue{\boxed{\boxed{\mathfrak{x=20}}}}$

$\green{\bold{\underline{\underline{Putting \: value \: of \: x \: in \: the \: numbers:-}}}}$

$\rm{First\: number\: be \: 5x = 5(20)=100}$

$\rm{Second\: number\: be \: 4x = 4(20)=80}$

${\underline{\boxed{\boxed{\red{\mathfrak{Smallest\: number\: among\: both\: the \:numbers \: is Second\: number \: which \: is 80}}}}}}$

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$\Large{\underline{\underline{\green{\mathfrak{Verification:-}}}}}$

⟾ $\rm{5x+4x=180}$

⟾ $\rm{5(20)+4(20)=180}$

⟾ $\rm{100+80=180}$

⟾ $\rm{180=180}$

⟾ $\rm{L.H.S\:=\:R.H.S}$

$\pink{\bold{\underline{\underline{Hence\: Verified}}}}$

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$\Large{\underline{\underline{\blue{\mathfrak{Thanks}}}}}$