Rohit's mother's age is 5 times Rohit's age. if the sum of their ages is 66, find the ages of Rohit and his mother.
Answers
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{By the substitution method}
Let the age of Rohit and his mother be x and y years respectively.
According to 1st condition,
y =5x .... ...equation(1)
According to 2nd condition,
x+y= 66..........equation(2)
Substituting eq (1) in eq (2), we get,
x + 5x =66
Therefore,
6x =66
therefore,
x =66÷6
Therefore,
x =11.
Substituting x =11 in eq(2),
11 +y = 66
Therefore,
y =66-11
y =55.
Therefore, the age of Rohit is 11 years and his mother's age is 55 years.
{Equating the coefficient method}
Let the age of Rohit and his mother be x and y years respectively.
According to the 1st condition,
y=5x
therefore,
5x -y =0 ..... (1)
According to the 2nd condition,
x +y = 66 .....(2)
Adding (1) and (2),
5x -y =0
x +y =66
therefore,
6x =66
therefore,
x =66÷6
x =11
Substituting x =11 in (2)..
x +y = 66
11+ y =66
therefore,
y =66-11
Therefore,
y=55
Therefore the age of Rohit is 11 years while the age of Rohit's mother is 55 years.
hope it will help u........
PLZZZ MARK AS BRAINLIEST......
Answer:
hey mate here is your answer. This is very simple equation.
Step-by-step explanation
=> y=5x
=>x+y=66
=>x+5x=66
=>6x=66
=>x=66/6
x=11
Rohit 's age is 11
lets find out the mother's age
66-11
=55.
therefore rohit age is 11 and mother age is 55