Question

1. The average age of three boys is 16 yearsand the ratio of their ages is 4:5:7, findout the age of smallest boy.(1) 8 years (2) 9 years(3) 12 years (4) 16 years​

Answer 1

The average age of three boys is 16 years and the ratio of their ages is 4:5:7, find out the age of smallest boy.(1) 8 years (2) 9 years(3) 12 years (4) 16 years

Step-by-step explanation:

The Average age of the  3 boys = 16years

The Total age of the 3 boys = 16×3=48years

Let the ages of the boys be 4k years ,5k years and 6k years respectively, ∴

4k+5k+6k=48

or. 15k=48

or. k= 48/15 = 16/5

The Age of the youngest boy = 4k. =4× 16/5=64/5. = 12 years

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