Question

Present ages of veena and simi are in the ratio 2:5 four years from now the ratio of their ages will be 1:2 find their present ages.​

Answer 1

Step-by-step explanation:

Let,

Present age of veena is 2a, that of simi 5a

After 4 year, ages are 2a+4 and 5a+4

Acc. to ques. -

(2a+4)/(5a+4)=1:2

2(2a+4)=5a+4

4a+8=5a+4

8-4=5a-4a

4=a

Age of veena =2a=2(4)=8 year

Simi = 5a=5(4)=20year

Answer 2

Since the present ages of Veena and Simi are in the ratio 2:5, let them be 2x years and 5x years respectively.

Veena's age after 4 years =(2x+4)years

Simi's age after 4 years =(5x+4)years

After 4 years, their ages will be in the ratio 1:2. Thus, (2x+4) : (5x+4) :: 1 : 2

=> 2(2x+4) = 5x+4

(Product of means=Product of extremes)

=>4x+8 = 5x+4

=>5x-4x=8-4

=>x=4

Thus,

Veena's present age=2x=(2×4)years= 8 years

Simi's present age=5x=(5×4)years= 20 years

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