seven years from now Ram will be twice as old as Shyam, five years ago Shyam's age was one year less than 2/5 of Ram's age. what is Ram's present age?
Answers
Answer:
r=30
Step-by-step explanation:
take ram's age as r and shaym's as s
by first information we get
r+7=2(s+7)
=> r=2s+14
by second information we get
2/5( r-5)=(s-5)-1
=> 2r=5s-20
solving both of them
Answer:
Ram's present age is 45 years.
Step-by-step explanation:
Let Ram's mother's age be 'x' years and Shyam's age be 'y' years.
7 years from now, Ram's age = x + 7 and Shyam's age = y + 7
According to the question, after 7 years,
(x + 7) = 2 (y + 7)
x + 7 = 2y + 14
x - 2y = 14 - 7
x - 2y = 7 ...(i)
5 years ago, Ram's age = x - 5 and Shyam's age = y - 5
According to the question, 5 years ago,
y - 5 = [(x - 5) * 2/5 ] - 1
y - 5 = [(2x - 10)/5] - 1
y - 5 = (2x - 10 - 5) / 5
5y - 20 = 2x - 15
-2x + 5y = -15 + 20
-2x + 5y = 5 ...(ii)
Multiplying 2 to equation (i),
2x - 4y = 14 ...(iii)
Adding (ii) and (iii),
-2x + 2x + 5y - 4y = 5 + 14
y = 19
Using y = 19 in (i),
x - 2y = 7
x - (2 * 19) = 7
x - 38 = 7
x = 7 + 38
x = 45
Ram's present age is 45 years.