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
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.
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