Question

Answer the above question with steps ​

Answer 1

Answer:

The correct answer is 5 years..

Answer 2

Given :

in the first year man saved : a = 32

in the second year the man saved : a= 36

increasing savings : d = 36 - 32 = 4

his savings in ' n' years = Sn= 200

let n be the no of yrs :

by using the following formula , sum of nth term Sn = n/2 ( a + ( n-1) d)

200 = n /2 ( 2 X 32 + 4 ( n-1) )

200 = n/2 ( 64 + 4 n - 4)

200 = n /2 ( 60+ 4 n)

400 = 4n ( 15 + n)

400 / 4 = 15 n + n^2

n^2 + 15n -100

n^2 + 20n - 5 n -100 = 0

by splitting middle term

( n- 5) ( n+ 20)

n = 5 ; n = -20

age cannot be negative

so , n= 5;

hope it helps U