Math, asked by Pradnyaj, 1 year ago

Two numbers are in ratio 7:11 , If 7 is added to each of the numbers , find the ratio becomes 1:2. Find the number ​

Answers

Answered by Anonymous
8

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Answered by SANDHIVA1974
1

★ Given :-

2 no's are in ratio 7:11

7 is added to these no's then the ratio 1:2

★ To find :-

Both the Numbers ?

★ Solution :-

Let,

1st number = 7x

2nd number = 11x

Equation :-

 ⟹ \ \boxed{ \bf \red{\frac{7x + 7}{11x + 7}   =  \frac{1}{2} }}

By Cross multiplication

⟶ \:  \bf2(7x - 7) = 1(11x + 7)

⟶  \bf14x+14 = 11x+7

 \bf⟶3x =  - 7

 \large \bf ⟶ \red{x =  \frac{ - 7}{3} }

Hence,

\star  \:  \purple{ \sf\underline{First  \: number }}:  -

 ⟼ \boxed{ \bf7x = \small  \frac{ - 7}{3} × { 7} =    \small \frac{49}{3} }

\star  \:  \purple{ \sf\underline{Second  \: number }}:  -

 ⟼ \boxed{ \bf11x = \small  \frac{ - 7}{3} × { 11} =    \small \frac{ - 77}{3} }

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