Question

present ages ofA and B are in ratio of 3:5 five years from now the ratio of their ages is 2:3 find ages of A andB

Answer 1

Answer:

Step-by-step explanation:

let the present ages be 3x,5x

now 5 yrs from now their ages become

=3x+5

=5x+5

but, their age ratio = 2:3

now , ATP

(3x+5)/(5x+5)=2/3

=2(5x+5)=3(3x+5)

=10x+10=9x+15

10x-9x=15-10

x=5

now, their present ages=A=3x=3*5=15yrs

B=5*5=25yrs

Answer 2

Given, the present ages of A and B are in the ratio 3 : 5

So, let the present age of A be 3x and let the age of B be 5x

Five years from now, the age of A = 3x + 5 and the age of B = 5x + 5

Five years from now, the ratio of their ages will be in the ratio 2 : 3



According to the question,

$\dfrac{3x + 5}{5x + 5} = \dfrac{2}{3}$

➾ 3(3x + 5) = 2(5x + 5)

➾ 9x + 15 = 10x + 10

➾ 15 - 10 = 10x - 9x

➾ 5 = x




∴ Present age of A ➾ 3x

➾ 3 × 5

➾ 15 years


∴ Present age of B ➾ 5x

➾ 5 × 5

➾ 25 years