Question

2.
Ratio of the ages of two persons today is 4:7. Five years hence the ratio of their ages can be
1:2
b. 3:5
3:7
d. 5:14​

Answer 1

Their Present ages :-

$\sf{Person~ A = 4x = 40}$

$\sf{Person ~B = 3x = 30}$

$\bold\red{Given}$

Ratio of Ages = 4 : 3

Will keep their ages as 4x and 3x.

Five years hence

$\tt{= 4x + 5 : 3x + 5 = 9 : 7}$

$\tt{= 4x + \frac{5}{3x} + 5 = \frac{9}{7}}$

$\tt{= 7 (4x + 5) = 9 (3x + 5)}$

$\tt{= 28x + 35 = 27x + 45}$

$\tt{= x = 10}$

Their Present ages :-

$\sf{Person ~A = 4x = 40}$

$\sf{Person ~B = 3x = 30}$

Answer 2

Answer:

Hence Five years age ratio can be as

x:y = 4:7 7x + 5 = 4y +5=3:5