Math, asked by momulaveeresham9866, 4 months ago

Two numbers are in the ratio of 3:5.If 8 is added to each number, then the ratio becomes 2:3 then,the largest number, is

Answers

Answered by Adreequeen
3

Answer:

Answer: The largest number is 40.

Step-by-step explanation:

Given ratio: 3:5

unknown no: x

ATP,

No 1 = 3x

No 2 = 5x

After 8 is added to each number:-

No 1 = 3x + 8

No 2 = 5x + 8

Ratio after 8 is added:-

=> 2:3

Therefore, equation formed = (3x + 8)/ (5x + 8) = 2/3

=> 3( 3x + 8) = 2(5x + 8) [ Cross Multiplication]

=> 9x + 24 = 10x + 16

=> 24 - 16 = 10x - 9x [ Transposition method]

=> 8 = x

Therefore, No 1 = 3x = 3 × 8 = 24

No 2 = 5x = 5 × 8 = 40

Answer: The largest number is 40.

Happy to Help friend!

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