Question

The present ages of A and B are in the
wen
vratio 5:6. Three years ago, their ages,
in the oratio 4:5. Find their present ages.​

Answer 1

Answer:

A = 15 years and B = 18 years

Step-by-step explanation:

Let's say the present age of A be 5x and present age of B be 6x.

Three years ago:

• Age of A = (5x - 3) years
• Age of B = (6x - 3) years

Given that three years ago, their ages are in the ratio 4:5.

As per given statement,

→ (5x - 3)/(6x - 3) = 4/5

Cross multiply them,

→ 5(5x - 3) = 4(6x - 3)

→ 25x - 15 = 24x - 12

→ 25x - 24x = - 12 + 15

→ x = 3

Age of A = 5x = 5(3) = 15 years

Age of B = 6x = 6(3) = 18 years

Therefore, the present age of A is 15 years and B is 18 years.

Answer 2

${\huge{\color{red}{\bf{Question}}}}$

The present ages of A and B are in the ratio 5:6. Three year ago, their ages were in the ratio 4:5, find there present ages.

Answer

15 and 18

______________________________________________

${\huge\color{purple}{\fbox{\tt{Given}}}}$

Ratio of A and B=5: 6

Ratio of A and B after 3 years: 4: 5

$\color{Green}\bf{Solution}$

Let the age of A and B= $\rm{5x}$,

$\rm{6x}$

$\color{purple}\tt{3\:years\:after:}$

Age of A=$\rm{5x-3}$

Age of B=$\rm{6x-3}$

${\huge\mathfrak{Therefore:}}$

${\huge\color{red}\rm\frac{5x-3}{6x-3}=\frac{4}{5}}$

$:\implies\rm{25-x=24x-12}$

$:\implies\rm{25-x=24x+15}$

x=3

Present age of A =$\rm{5\times3=15}$

Present Age of B=$\rm{6\times3=18}$

____________________________________________________________________