Question

sum of the ages of x and y is 55 years if the ratio of their ages is 6 : 5 , find their ages​

Answer 1

Answer:

Let, the age of A's as 6x

and the age of B's as 5x

Now,

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

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

So,

\sf⇨6x + 5x = 55⇨6x+5x=55

\sf⇨11x = 55⇨11x=55

\sf⇨x = \frac{55}{11}⇨x=

11

55

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

11

55

=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→30+25=55

\sf \to 55=55→55=55

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

Hence, Proved

Answer 2

Answer:

Let the common ratio be k

6k+5k=55 (According to the question)

11k=55

k= 5

So x=6k=6*5=30

y= 5k=5*5=25

HOPE IT HELPS