Math, asked by Anonymous, 1 year ago

Ratio of Present Age of A and B is 5:7. After 10 Years Ratio of their Age will be 7:9. Find there Present Age.​

Answers

Answered by Anonymous
108

AnswEr :

  • Ratio of Present Age of A and B is 5:7
  • Ratio after 10 Yrs. will be 7:9
  • Find there Present Age.

Let the Present Age of A & B be 5x & 7x.

According to Question :

⇒ Age Ratio After 10 Years = 7:9

⇒ (5x + 10) / (7x + 10) = 7 / 9

  • By Cross Multiplication

⇒ 9 × (5x + 10) = 7 × (7x + 10)

⇒ 45x + 90 = 49x + 70

⇒ 90 - 70 = 49x - 45x

⇒ 20 = 4x

  • Dividing Both term by 4

x = 5

◑ A Present Age = 5x = 5 × 5 = 25 Years

◑ B Present Age = 7x = 7 × 5 = 35 Years

Present Age of A and B is 25 Yrs. and 35 Yrs. respectively.

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Here is a Shortcut Trick to Solve Question

⋆ Check the Difference Between Ratios

  • Present Age ( 7 - 5 = 2 )
  • Future Age ( 9 - 7 = 2 )

⋆ If Difference is Same then it's Good or else you can match the Difference by Multiplying by the difference gap.

⋆ Now Divide the Time by Difference

  • Yrs/Difference = 10/2 = 5

⋆ Now Multiply the Ratios of any time we want to get result by what we get i.e. 5 in this Case.

We Have to Find Present Age that's why

⇒ Present Age of A = 5 × 5 = 25 Years

⇒ Present Age of B = 7 × 5 = 35 Years

Present Age of A and B is 25 Yrs. and 35 Yrs. respectively.

Answered by VishalSharma01
113

Answer:

Step-by-step explanation:

Given :-

Ratio of Present Age of A and B is 5:7.

After 10 Years Ratio of their Age will be 7:9.

To Find :-

The Present Age

Solution :-

let A's present age be 5x years

And B's present age be 7x years            

After 10 years,

A's age = 5x + 10

B's age = 7x + 10

According to the Question,

⇒ 7x + 10 + 5x + 10 = 9x + 7x

⇒ 20 = 16x - 12x

⇒ 20 = 4x

⇒ x = 20/4

⇒ x = 5

A's present age = 5x = 5 × 5 = 25 years

B's present age = 7x = 7 × 5 = 35 years

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