present ages of Anu and Raj are in the ratio 4 ratio 5.8 years from now the ratio of their ages will be 5 ratio 6 find their present ages
Answers
Answer :- Anu age = 32 years and Raj age = 40 years
Explanation :-
Let Present age of Anu be 4x years
And Raj Present age be 5x years
According to given condition
From 8 years now, Anu age will be (4x + 8)
Raj age will be (5x + 8)
The ratio of there age is 5:6
Therefore
4x+8/5x+8 = 5/6
Cross multiplying the equation
6(4x + 8)= 5(5x +8)
We get,
24x + 48 = 25x + 40
24x + 48 - 40 = 25x
24x + 8 = 25x
8 = 25x - 24x
8 = x
Therefore the value of x = 8
Substituting x = 8,
Anu age = 4x
= 4 × 8
= 32 years
Raj age = 5x
= 5 × 8
= 40 years
direct forming the equation :
4x+8/5x+8 = 5/6
by solving further:
6(4x + 8)= 5(5x +8)
24x + 48 = 25x + 40
24x + 48 - 40 = 25x
24x + 8 = 25x
8 = 25x - 24x
x = 8
Therefore the value of x = 8
Substituting x = 8,
Anu age = 4x
= 4 × 8
= 32 years
Raj age = 5x
= 5 × 8
= 40 years