Question

sum of the ages of A and B is 55 years . If the ratio of their ages is 6 : 5 , find their ages​

Answer 1

Answer:

answer is in the given image.

Answer 2

GIVEN:

• Sum of the ages of A and B = 55 years
• Ratio of the ages of A and B = 6:5

TO FIND:

• What were their ages ?

SOLUTION:

Let, the age of A's as 6x

and the age of B's as 5x

Now,

$\mathbb{ACCORDING \: TO \: QUESTION}$

It is given that the sum of their ages will be 55 years

So,

$\sf⇨6x + 5x = 55$

$\sf⇨11x = 55$

$\sf⇨x = \frac{55}{11}$

$\sf⇨x = \frac{ \cancel{55}}{ \cancel{11} } = 5$

So, x = 5

Hence, age of A's will be = 6x = 6×5 = 30 years

and, age of B's will be = 5x = 5×5 = 25 years

VERIFICATION

$\sf \to 30+25=55$

$\sf \to 55=55$

Here, L.H.S = R.H.S

Hence, Proved