Math, asked by biplov897, 7 months ago

The ratio of the present ages of anjali and ashu is 2 is to 3 five years hense the ratio their ages will be 3 is to 4 find their present ages

Answers

Answered by chauhannaval1975
1

Answer:

15 isto 20 is the answer

Answered by simran7539
60

Question :-

The ratio of the present ages of Anjali and Ashu is 2 : 3. Five years from now, the ratio their ages will be 3 : 4. Find their present ages.

Solution :-

Given :-

  • The ratio of the present ages of Anjali and Ashu is 2 : 3.
  • Five years from now, the ratio their ages will be 3 : 4.

To Find :-

  • Their Present age.

Step-by-Step-Explaination :-

Let Anjali's present age = 2x years

Ashu's present age = 3x years

Five years later, Anjali's age = (2x + 5) years

Ashu's age = (3x + 5) years

According to the question, we have

  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \frac{(2x + 5)}{(3x + 5)}  =  \frac{3}{4}

By cross multiplication, we have

4 (2x + 5) = 3 (3x + 5)

=> 8x + 20 = 9x + 15

=> 20 - 15 = 9x - 8x

=> 5 = x

Therefore, Anjali's present age = 2x years

= ( 2 × 5 ) years = 10 years

and Ashu's present age = 3x years

= ( 3 × 5) years = 15 years

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