Math, asked by subhadiphalder200, 1 month ago

a and b are 50 and 70 years old how many years ago was ratio of their ages 2:3​?
1)40
2)80
3) 10
4) 45​

Answers

Answered by pkumari7108
1

Answer:

Option 3

I hope it's helpful for you

Attachments:
Answered by pulakmath007
1

SOLUTION

TO CHOOSE THE CORRECT OPTION

a and b are 50 and 70 years old how many years ago was ratio of their ages 2:3

1) 40

2) 80

3) 10

4) 45

EVALUATION

Here it is given that a and b are 50 and 70 years old respectively

Let x years ago ratio of their ages was 2 : 3

x years ago -

Age of a = 50 - x years

Age of b = 70 - x years

So by the given condition

\displaystyle \sf{   \frac{50 - x}{70 - x} =  \frac{2}{3}  }

\displaystyle \sf{ \implies  150 - 3x = 140 - 2x}

\displaystyle \sf{ \implies   - 3x + 2x = 140 - 150}

\displaystyle \sf{ \implies   -x =  - 10}

\displaystyle \sf{ \implies  x = 10}

10 years ago ratio of their ages was 2 : 3

FINAL ANSWER

Hence the correct option is 3) 10

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