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Answer»

Step-by-step EXPLANATION:

☑ let us CONSIDER the ages of two BROTHERS are X and y (present ages) therefor present ages are

x / y = 1/2

here, y = 2x ..........(1)

☑ 5 years back the ratio was 1:3

➡(x - 5)/ ( y - 5) = 1/3

➡(x - 5) 3 = 1 ( y - 5)

➡3x - 15 = y - 5

➡3x - 15 =( 2x)- 5

➡3x - 2x = -5 + 15

x = 10

☑ PUT x = 10 in equation (1)

➡y = 2(10)

y = 20

☑ so, the present ages are x = 10 and y = 20

we have to find ratio of their ages after 5 years

therefor,

(x + 5 )/ ( y + 5) =( 10 + 5)/ (20+ 5)

= 15 / 25

= 3 /5

c option is correct 3:5


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