Question

A man 50 YEARS old has 8 son of equal interval .sum of father age and son is 186 what is the eldest son age if youngest is 3year

Answer 1

Answer: 31

Step-by-step explanation:

Let the time interval be x

We know that youngest 8th son age = 3 yrs

7th son age = 3yrs + x

6th son age = 3yrs + 2x

5th son age = 3yrs + 3x

4th son age = 3yrs + 4x

3rd son age = 3yrs + 5x

2nd son age = 3yrs + 6x

1st eldest son age = 3yrs + 7x

So ,

3+3+3+3+3+3+3+3+x+2x+3x+4x+5x+6x+7x

24+28x = 136

28x = 136-24

28x = 112

X = 112 ÷ 28

X = 4

So the time interval is 4

Then the 1st eldest son's age

= 3+7(x)

= 3+7(4)

= 3+28

= 31

Therefore the eldest son's age is 31