Math, asked by sabashia2427, 1 year ago

Two years ago the ratio of ramesh and ankur was 6:9 respectively two years hence ratio of their ages will be 9:11 respectively what is the present age of ankur

Answers

Answered by TishaKalia
8
Two years ago
Ramesh's age = 6x years
Ankur's age = 9x years
After two years from today,
⇒ 81x + 36 = 66x + 44
⇒ 81x – 66x = 44 – 36
⇒ 15x = 8
∴ Ankur's present age
Ans: 6.8years.

Hope it helps!!
Answered by rinayjainsl
2

Answer:

The present age of ramesh is 5.2 years and the present age of Ankur is 6.8 years

Step-by-step explanation:

Given that,

The ratio of ages of Ramesh and ankur two years ago is 6:9 and

The ratio of ages of Ramesh and ankur two years hence will be 9:11.

Let the present ages of Ramesh amd ankur be x and y respectively.According to the given data,two years ago the ratio is

 \frac{x - 2}{y - 2}   = \frac{6}{9}  \\  =  > 9x - 18 = 6y - 12 \\  =  > 9x - 6y - 6 = 0  \\  =  > 3x - 2y - 2 = 0 -  -  > (1)

Two years hence the ratio is

 \frac{x + 2}{y + 2}  =  \frac{9}{11}  \\  =  > 11x + 22 = 9y + 18 \\  =  > 11x - 9y + 4 = 0 -  -  > (2)

Solving the equations 1 and 2 we get the values as

x = 5.2 \\ y = 6.8

Therefore,the present age of ramesh is 5.2 years and the present age of Ankur is 6.8 years

#SPJ2

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