Joas present age is 2/7th of the father present age.joas brother is 3 years older than joas the respective ratio between present age of joas father and joas brother is 14:5 what is the joas present age
Answers
Answer:
Let the age of Joas's father be x years,
then age of Joas = 2x/7 years
and, age of Joas's brother = 3 + 2x/7 = (21 + 2x)/7
Given, that the ratio of present age of Joas's father to that of Joas's brother = 14:5
or, x/(21 + 2x)/7 = 14/5
5x = 14 (21 + 2x)/7
5x = 2(21 + 2x)
5x = 42 + 4x
5x - 4x = 42
x = 42 years
Hence, the age of Joas's father = 42 years.
Now, age of Joas's brother = (21 + 2x)/7 = (21 + 2 × 42)/7 = (21 + 84)/7
= 105/7 = 15 years old
And, Joas's present age = 2x/7 = 2 × 42/7 = 2 × 6 = 12 years
Step-by-step explanation:
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