Question

the difference between two no. is 33. if the two numbers are in the ratio 5:2 , then find the other no.
pls fAST and no jokes pls​

Answer 1

➲CORRECT QUESTION :

• The difference between two numbers is 33, if the two numbers are in the ratio 5:2. Then, find the numbers.

☯GIVEN :

• Two numbers are in the ratio 5:2.

• Difference = 33

☯ TO FIND :

• Required numbers .

➲SOLUTION :

Let the required numbers be 5x and 2x.

• Difference = 33

$\implies{ \sf{First \: Number - Second \: Number = 33}}$

$\implies{ \sf{5x- 2x = 33}}$

$\implies {\sf{3x = 33}} \\ \\ \implies \sf{x = \cancel {\dfrac{33}{3}} }$

$\implies \underline{ \huge{ \boxed{ \red{ \bf{x = 11 } } }}}$

$\huge { \pink{\therefore}}$ First Number = $\tt {5\times 11}$=$\bf {55 }$.

$\huge { \red{\therefore}}$ Second Number = $\tt {2 \times 11}$=$\bf { 22}$.

Answer 2

Given : The two numbers are in the ratio 5:2 & Difference between them is 33 .

Exigency To Find : The two numbers .

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❍ Let's Consider the two numbers be 5x & 3x , respectively.

Given that ,

• The Difference between two number is 33 .

Therefore,

$\dag\:\:\bf{ New ,\:Equation \:Formed \:\::}$

$\qquad \dag\:\:\bigg\lgroup \sf{ Equation \:: 5x - 2x = 33 }\bigg\rgroup$

⠀⠀⠀⠀⠀⠀$\underline {\boldsymbol{\star\:Now \: By \: Solving \: for \:x \:in \: Equation \::}}$

$\qquad \longmapsto \sf Equation \:=\: 5x - 2x = 33$

$\qquad \longmapsto \sf \: 5x - 2x = 33$

$\qquad \longmapsto \sf \: 3x = 33$

$\qquad \longmapsto \sf \: x =\cancel {\dfrac{33}{3}}$

$\qquad \longmapsto \frak{\underline{\purple{ x = 11 }} }\bigstar$

Therefore,

• First Number is 5x = 5(11) = 55
• Second Number is 2x = 2(11) = 22

Therefore,

⠀⠀⠀⠀⠀$\therefore {\underline{ \mathrm {  The\:two \:numbers\: \:are\:\bf{55 \:\&\: 22}}}}$

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V E R I F I C A T I O N :

As , per the given condition,

• The Difference between two number is 33 .

⠀⠀Therefore,

$\qquad \longmapsto \sf \: 55 - 22 = 33$

$\qquad \longmapsto \sf \: 33 = 33$

⠀⠀⠀⠀⠀$\therefore {\underline {\bf{ Hence, \:Verified \:}}}$

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