robot was 4 times as old as his son 8 years ago. after 8 years,rohit will be twice as old as his son. what are their present ages?with fill soluction
Answers
Answered by
12
let's assume that rohit's present age is x and his son's
present age is y. 2 equations formed using these.
x-8 = 4(y-8) -> represtning 8 ago from present time.
x+8 = 2(y+8) -> representing 8 yrs ahead from now.
subtract 2nd equation from 1st. the resulting equation w'd
be: 2y-48=-16
y=16
x=2y+8
=40
hence Rhit's present age is 40, his son's present age is 16
yrs.
present age is y. 2 equations formed using these.
x-8 = 4(y-8) -> represtning 8 ago from present time.
x+8 = 2(y+8) -> representing 8 yrs ahead from now.
subtract 2nd equation from 1st. the resulting equation w'd
be: 2y-48=-16
y=16
x=2y+8
=40
hence Rhit's present age is 40, his son's present age is 16
yrs.
Answered by
129
Answer:
Step-by-step explanation:
Given :-
Robit was 4 times as old as his son 8 years ago.
After 8 years, rohit will be twice as old as his son.
To Find :-
Their present ages
Solution :-
Let son's age 8 years ago be x years.
Rohit's age 8 years ago be 4x years.
Son's age after 8 years = (x + 8) + 8 = (x + 16) years.
Rohit's age after 8 years = (4x + 8) + 8 = (4x+ 16) years.
⇒ 2 (x + 16) = 4x + 16
⇒ 2x = 16
⇒ x = 16/2
⇒ x = 8.
Hence, son's 'present age = (x + 8) = 16 years.
Rohit's present age = (4x + 8) = 40 years.
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