John's father is 5 times older than john and John is twice as old as his sister sita. In 2 years time , the sum of their ages will be 58 . How old is john now?
please give a step by step answer!
Answers
Answer:
John’s current Age =5 x
Sister’s current age = x
After two years, John’s new age = x+2
Sister’s new age = 2x
We know, John would be twice old as her sister
(x + 2) = 2 x 5
x+2 = 10
x = 10–2 = 8
Step-by-step explanation:
Answer:
john's age = 8
Step-by-step explanation:
Take John's age as j ,
his father's age as f,
and his sisters age as s.
Now,
Their ages after 2 years will be j + 2, f + 2, and s+2 respectively.
So, we got a equation by this~
f + 2 + j + 2 + s + 2 = 58 _(1
Now,
It is given -
• father is 5 times the age of his son : f = 5j _(2
• john is twice his sis : j = 2s _(3
solution :
f + 2 + j + 2 + s + 2 = 58
[ substituting equation 2nd here ]
5j + 2 + j + 2 + s + 2 = 58
[ substituting equation 3rd here ]
5(2s) + 2 + (2s) + 2 + s + 2 = 58
13s + 6 = 58
s = 4
So, John = 2(4) = 8 yrs old.