Math, asked by misbahahmad005, 5 months ago

present ages of the mahi and nani are in the ratio 5;7 four years from now the ratio of their age will be 3:4 find their present age​

Answers

Answered by simran7539
6

Solution

Given :-

  • Present ages of the mahi and nani are in the ratio 5;7.
  • Four years from now the ratio of their age will be 3:4.

To Find :-

  • Their present age

Step-by-Step-Explaination :-

Let Mahi present age = 5x years

Nani present age = 7x years

Four years later, Mahi age = ( 5x + 4 ) years

Nani age = ( 7x + 4 ) years

According to the question, we have

5x + 4 / 7x + 4 = 3 / 4

By cross multiplication, we have

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

20x + 16 = 21x + 12

16 - 12 = 21x - 20x

4 = x

Therefore,

Mahi present age = 5x years = ( 5 × 4 ) years = 20 years.

Nani present age = 7x years = ( 7 × 4 ) years = 28 years.

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