Question

Abhay’s age after six years will be three-seventh of his father’s age. Ten years ago, the ratio of their ages was 1 : 5. What is Abhay’s father’s age at present?

Answer 1

decimals are coming ... even if you take f+6 in the 1 st equation also ..you ll get decimals...

Answer 2

first take the second condition:
ten years ago thier ratio is 1:5,so abhay age is 1 part and father age is 5 part we can otherwise say this x:5x

so ten yerars ago thier age is x-10 and 5x -10,to find their present ages add 10 yrs so x+10 and 5x+10

so abhay present age is x+10 and father's present age is 5x+10

then by first condition
after 6 yrs will be three-seventh of his fathers age

so,
(x+10)+6=3/7(5x+10)+6
[above is present age of abhay + 6 yrs after by first condition like wise fathers age is calculated]
therefore,
x+16=3/7(5x+16)
by solving this we get x=8
then subsitute x value in fathers present age(5x+10)
we get 50 so,abhays fathers age is 50

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hope it helps you ❤❤❤❤❤❤
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[Rahul [[/Aryan ]