Math, asked by gopal123indrale, 9 months ago

two numbers are in the ratio 3 is to 4 if 8 is added to each of them the new ratio becomes 4 is to 5 find the number please answer me step by step

Answers

Answered by EthicalElite
2

Let First number= 3x

Second number= 4x

According to statement

3x+8 /4x+8 =4/5

5(3x +8) = 4(4x + 8)

15x + 40 = 16x + 32

15x - 16X = 32 -40

-x = -8

x=8

Therefore, First number= 3x

= 3×8

= 24

Second number=4x

= 4×8

=32

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Answered by ankushsaini23
1

Answer:

\huge\boxed{\fcolorbox{red}{pink}{Your's Answer}}

\red {QUESTION}

two numbers are in the ratio 3 is to 4 if 8 is added to each of them the new ratio becomes 4 is to 5 find the number please answer me step by step

\green {ANSWER}

Let First number= 3x

Second number= 4x

According to question:-

 =>  \frac{3x + 8}{4x + 8}  =  \frac{4}{5}

 => 5(3x + 8) = 4(4x + 8)

 => 15x + 40 = 16x + 32

 => 15x - 16x = 32 - 40

 =>  - x =  - 8

x = 8

Therefore, 3x= 3×8

= 24

and, 4x= 4×8

= 32

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