The respective ratio of the present age of x and y is 7:1. Four years ago the respective ratio of their age was 19:1. x what will be x age four years from now?
Answers
Given :-
The respective ratio of the present age of x and y is 7:1. Four years ago the respective ratio of their age was 19:1.
To find : -
- Age of x after 4 years
Solution : -
Let the present ages of x be 7A and y be A
- 4 years ago
- x's age = 7A - 4
- y's age = A - 4
**According to the question**
→ 7A - 4/A - 4 = 19/1
→ 7A - 4 = 19(A - 4)
→ 7A - 4 = 19A - 76
→ 76 - 4 = 19A - 7A
→ 72 = 12A
→ A = 72/12 = 6
Therefore, x's age after four years
→ 7A + 4
→ 7 × 6 + 4
→ 42 + 4
→ 46 years
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Answer:
Age of x after 4 yrs is 46 yrs .
Age of y after 4 yrs is 10 yrs .
Step-by-step explanation:
Let the ratio of present age of x and y be 7x : x
And 4yrs after be (7x + 4)/(x + 4)
And,
Four yrs ago,
Ratio of ages => (7x-4)/(x - 4 ) = 19/1.
=> 7x - 4 = 19( x - 4 )
=> 7x - 4 = 19x - 76
=> 76 - 4 = 19x - 7x
=> 72 = 12x
=> x = 72/12 = 6
Hence,
The age of x and y after 4 yrs from now be
(7x + 4) and x + 4
= (7×6+4) ( 6+4)
46 yrs and 10 yrs
Age of x after 4 yrs is 46 yrs .
Age of y after 4 yrs is 10 yrs .