Question

a & b having age ratio 5:6 (before 2years) today they have ratii of 6:7, what's their ages?​

Answer 1

let the ages of a and b be X and y then..
$\frac{x - 2}{y - 2} = \frac{5}{6}$
and
$\frac{x}{y} = \frac{6}{7}$
so,
$6x - 12 = 5y - 10 \\ 6x - 5y = 2$
and
$7x - 6y = 0$
on solving both the equations..
we get
X=12 and
Y=14..

hope it helped..:-):-):-):-):-)

Answer 2

Step-by-step explanation: let the present ages of a and b be x and y.

x-2/y-2 = 5/6

6x-12 = 5y-10

6x-5y = -10+12

6x-5y = 2. -------------(1)

x/y = 6/7

7x = 6y

x = 6y/7. -----------(2)

Putting (2) in (1),

6(6y/7)-5y = 2

36y/7 -5y = 2

36y-35y/7 = 2. (LCM)

y/7 = 2

y = 14 years.

x/14 = 6/7

x = 6*14/7

x = 12 years.

⇒present age of a = 12 years

present age of b = 14 years.

Hope this helps. Plz mark me as the brainliest.