Math, asked by pdhruti2008, 9 months ago

The ratio between two numbers is 5:7. If each of the numbers is increased by 6, then the ratio between
them becomes 3 : 4. Find the original number.

Answers

Answered by tennetiraj86
5

Answer:

The original numbers are 30 and 42

Attachments:
Answered by rsagnik437
25

Given:-

•Ratio between two numbers is 5:7

•When each of the numbers is increased by 6,the ratio becomes 3:4

To find:-

•The original numbers

Solution:-

=>Let the original numbers be 5x and 7x respectively.

When,each of the numbers are increased by 6,the new numbers are:-

=>5x+6

=>7x+6

Now,As Per Question:-

 =  >  \frac{5x + 6}{7x + 6}  =  \frac{3}{4}

By cross multiplication :-

 =  > 4(5x + 6) = 3(7x + 6)

 =  > 20x + 24 = 21x + 18

 =  > 20x - 21x = 18 - 24

 =  >  - x =  - 6

 =  > x = 6

Thus,the original numbers are:-

•5×6=30

•7×6=42

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