Question

the age of Two Sisters are in the ratio 5 : 7 .6 years later the sum of their ages will be 72 years find the present age​

Answer 1

★Answer★:-

let the present age of the sisters be 5x and 7x

after 6 years their ages will be = (5x+6) and (7x+6)

ATQ:-

$(5x + 6) + (7x + 6) = 72 \\ 12x + 12 = 72 \\ 12x = 72 - 12 \\ 12x = 60 \\ x = \frac{60}{12} \\ x = 5$

thus their present ages is 5x= 5×5=25 yrs

and 6x= 7×5=35yrs

★Verification★:-

after 6 years their ages will be 25+6= 31 yrs

and 35+6= 41 yrs

then 31+41= 72

Answer 2

Answer:

The present age will be :

25 years and 35 years

Step-by-step explanation:

Let,

The Present age of First sister = 5x

The Present age of Second sister = 7x

6 years later, The sum of their ages will be 72 years

The age of First sister = 5x + 6

The age of Second sister = 7x + 6

⇒ (5x + 6) + (7x + 6) = 72

⇒ 12x + 12 = 72

⇒ 12x = 72 - 12

⇒ 12x = 60

⇒ x = 60 / 12

⇒ x = 5

The Present age of First sister = 5x

⇒ 5 (5)

⇒ 25

The Present age of First sister = 25 years

The Present age of Second sister = 7x

⇒ 7 (5)

⇒ 35

The Present age of Second sister = 35 years

Therefore, their present ages will be

25 years and 35 years.