How old will aarav be when he is exactly twice as old as bodhi?
Answers
Step-by-step explanation:
Let e represents the elder brother’s current age
Let y represents the younger brother’s current age
e = 2*y = 2y ……………………….. eqn. (i)
In two years’ time:
The elder brother’s age will become (e+ 2) years old
The younger brother’s age will become (y + 2) years old
Five years ago,
The younger brother was (y - 5 + 2) years old
e + 2 = 4(y-5 +2)
e + 2 = 4y - 20 + 8
e = 4y - 14 ………………………………………. eqn. (ii)
From eqn. (i), e = 2y
Substitute e into eqn. (ii)
2y = 4y - 14
2y - 4y = - 14
-2y = -14
2y = 14
y = 14/2
y = 7 years old now
The younger brother is 7 years old now
The elder brother is 7*2 years old now = 14 years old now.
To check if the answers above are correct:
The younger brother is 7 years old now, in two years’ time he will become 9.
Five years ago, he was (9 - 5) years old = 4 years old
The elder brother is 14 years old now, in two years’ time he will become 16 .
The ratio is 16:4, which is equal to ratio 4 to 1.