Question

The ratio of ages of Namrata and Divya is 4 : 3 .The
sum of their ages is 28 years.The ratio of their ages after 4
years will be :
(a) 3: 4
(b) 5 : 4
(c) 5 : 6
(d) 6 :5

Answer 1

ANSWER
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GIVEN
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Ratio of ages of Namrata and Divya = 4:3

Sum of their ages = 28 years

SOLUTION
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TO FIND THEIR PRESENT AGES :
------------------------------------------------

Let the ages be 4x and 3x

=> 4x + 3x = 28

=> 7x = 28

=> x = 28/7

=> x = 4

Age of Namrata = 4 × 4 = 16 years

Age of Divya = 3 × 4 = 12 years


THEIR AGES AFTER 4 YEARS :
---------------------------------------------

Age of Namrata = 16 + 4 = 20 years

Age of Divya = 12 + 4 = 16 years


NEW RATIO OF THEIR AGES :
--------------------------------------------

Age of Namrata : Age of Divya

=> 20 : 16

=> 20/16

=> 5/4

=> 5 : 4 ANS

○ The correct option is ( b ) 5 : 4


_______________________________

#BE BRAINLY

Answer 2

Answer:

Step-by-step explanation:

Let the ages of Namrata and Divya be 4x,3x respectively

According to question,

Sum of ages=28=>

4x+3x=28=>

x=4

After 4 years,

Namrata's age=4x+4=20years

Divya's age=3x+4=16years

Hence, required ratio is:(20/16)=5/4=5:4

Answer is option B.

Hope you understood