Question

If two numbers are in the ratio of 5:9 and their sum is 84, then the smallest number is what? pls give the answer with process​

Answer 1

Answer:

30, 54

Step-by-step explanation:

let the numbers be 5x and 9 x

= 5x+9x= 84

14x=84

x= 6

Answer 2

$\dag{\underline {\sf{\large { AnswEr-: }}}}$

• $\boxed{\star{\bigstar{\underline {\sf{ \:The\:two\:numbers\:are\:30\:and\:54. }}}}}$
• $\boxed{\star{\bigstar{\underline {\sf{ \:The\:smallest \:numbers\:is\:30\:. }}}}}$

$\star{\bigstar {\sf{\large { Explanation-: }}}}$

• $\frak{Given \:\: -:} \begin{cases} \sf{ Two \:numbers\: are\: in\: the\: ratio\: of\: 5:9\: } & \\\\ \sf{ The\:sum\:of\:of\:two\:number \:is\:84.}\end{cases}$

• $\frak{To\:Find \:\: -:} \begin{cases} \sf{ The\:Smallest\:number\:.}\end{cases}$

$\star{\bigstar {\sf{\large { Solution-: }}}}$

• $\frak{Let's \:Assume \: -:} \begin{cases} \sf{ The \:two\:number\:be\:5x\:and\:9x.}\end{cases}$

$\star{\bigstar {\sf{\large { Then, }}}}$

• $\frak{The\:Number \: -:} \begin{cases} \sf{ The \:First \:number\:is\:5x\:}& \\\\ \sf{ Th\:Second \:number\:=9x.}\end{cases}$

$\star{\bigstar {\sf{\large { Given\:That\:-: }}}}$

• $\sf{The\:sum\:of\:of\:two\:number \:is\:84}$

$\dag{\underline {\sf{\large { According\:To\:Question-: }}}}$

• $\sf{\large {\underline {\star{\bigstar {Formed \: Equation \:=5x + 9x = 84 }}}}}$

$\dag{\underline {\sf{\large { Solve\:for\:x\:from\:Formed\:Equation-: }}}}$

• $\sf{\large {\underline {\star{\bigstar {Formed \: Equation \:=5x + 9x = 84 }}}}}$

$\star{\bigstar {\sf{\large { Now -: }}}}$

• $\longrightarrow{\sf{ \:5x + 9x = 84 }}$

• $\longrightarrow{\sf{ \:14x = 84 }}$

• $\longrightarrow{\sf{ \:x = \dfrac{84}{14} }}$

• $\longrightarrow{\sf{ \:x = 6 }}$

$\star{\bigstar {\sf{\large { Therefore -: }}}}$

• $\boxed{\star{\bigstar {\sf{ \:x = 6 }}}}$

$\star{\bigstar {\sf{\large { Now -: }}}}$

• $\frak{Putting \:x =6 \: -:} \begin{cases} \sf{ The \:First \:number\:is\:5x\:= \: 5 \times 6 \:=30}& \\\\ \sf{ The\:Second \:number\:=9x\:=9\times 6 \:= 54.}\end{cases}$

$\dag{\underline {\sf{\large { Hence-: }}}}$

• $\boxed{\star{\bigstar{\underline {\sf{ \:The\:two\:numbers\:are\:30\:and\:54. }}}}}$

• $\boxed{\star{\bigstar{\underline {\sf{ \:The\:smallest \:numbers\:is\:30\:. }}}}}$

______________________________________________

$\dag{\underline {\sf{\large { Verification♡: }}}}$

• $\sf{\large {\underline {\star{\bigstar {\: Equation \:=5x + 9x = 84 }}}}}$

$\star{\bigstar {\sf{\large { Here, }}}}$

• $\longrightarrow{\sf{ \:x = 6 }}$

$\star{\bigstar {\sf{\large { Putting\:x=6\:in\:Equation. }}}}$

• $\sf{\large {\underline {\star{\bigstar {\: Equation \:=5x + 9x = 84 }}}}}$

$\star{\bigstar {\sf{\large { Now -: }}}}$

• $\longrightarrow{\sf{ \:5 \times 6 + 9 \times 6 = 84 }}$

• $\longrightarrow{\sf{ \:30 + 9 \times 6 = 84 }}$

• $\longrightarrow{\sf{ \:30+ 54 = 84 }}$

• $\longrightarrow{\sf{ \:84 = 84 }}$

$\star{\bigstar {\sf{\large { Therefore -: }}}}$

• $\underline{\dag {\sf{\large { LHS=RHS }}}}$

• $\underline{\dag {\sf{\large { Hence\: ,Verified}}}}$

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