Question

gatum is six years older than his wife. the sum of there ages is86

Answer 1

Let the age of Gautam be x
Let the age of his wife be y

According to the first condition,
x-6 = y..
so x + y= 6.....eq.1

According to the second condition,
x+ y = 86......eq.2

Add eq.1 and eq.2

x + y = 86
+ x - y = 06
___________
2x = 92
x = 46

So, Age of Gautum is 46
x - 6 = age of his wife
46-6 = 40
Age of his wife is 40

Final Answer
Age of Gautam is 46,
Age of his wife is 40.
This is the answer.

Answer 2

I think the question is find their ages? right??

next time take care of this.. always post full questions frnd :)

now come to ur question...

ATQ, Gautam is six years older than his wife.

let the age of his wife be x.

therefore gautam's age is x + 6

we are given that the sum of their ages is 86.

therefore gautam's wife's age + gautam's age = 86 yrs

==> x + x + 6 = 86 yrs

==> 2x + 6 = 86 yrs

==> 2x = 86 - 6

==> 2x = 80

==> x = 80/2

==> x = 40

we solved for x and got x = 40 yrs

now, we will find he age of gautam's wife and Gautam.

we too gautam's wife's age as x. therefore her age is 40 yrs

and gautam's age as x + 6 = 40 + 6 = 46 yrs

let us prove it..

sum of their ages = 86

40 + 46 = 86 yrs

hence verified..

HOPE THIS HELPS..!!