naimasulfikar naimasulfikar
  • 06-07-2021
  • Mathematics
contestada

ages of Raju and Ravi are in the ratio 3:4 .Four years from now the ratio of their ages will be 4:5 . Find their present ages​

Respuesta :

Muscardinus Muscardinus
  • 11-07-2021

Answer:

Their present ages are 12 years and 16 years.

Step-by-step explanation:

Given that,

Ages of Raju and Ravi are in the ratio 3:4 .Four years from now the ratio of their ages will be 4:5.

Let their present age is 3x and 4x.

Ages after four years from now will be:

[tex]\dfrac{3x+4}{4x+4}=\dfrac{4}{5}\\\\5(3x+4)=4(4x+4)\\\\15x+20=16x+16\\\\20-16=16x-15x\\\\x=4[/tex]

So,

Raju's present age is 3(4) = 12 years

Ravi's present age is 4(4) = 16 years

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