Question

Mrs. Lata was 3 times as old as her son 8 years ago. Their total is 64 years now. How old is mrs lata now?

Answer 1

Let Mrs latas age be x and her sons age be y

ATQ

(x-8)=3(y-8)

x-8= 3y-24

x-3y+16=0.....eq 1

x+y=64

By solving these equation you would get the answer

Answer 2

HEY Buddy.....!! here is ur answer

Let, the present age of Mrs. Lata = x years

and her son = y years

Given that : Their total is 64

According to the question : x + y = 64.....(1)

8 years ago : the age of Mrs. Lata = (x–8) years

and the age of her son = (y–8) years

Given that : Mrs. Lata 3 times as old as her son

then, according to the question :

(x–8) = 3(y–8)

=> x–3y = –24+8

=> x–3y = –16....(2)

On solving equation (1) and (2) by elimination method...

x+y = 64...(1)

x–3y = –16....(2)
_____________

On subtracting...

4y = 80 => y = 20 years

On putting the value of 'y' in equation (1)

x+20 = 64

=> x = 44 years

Therefore, the present age of Mrs. Lata is 44 years and her son is 20 years.

I hope it will be helpful for you....!!

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