The sum of the present ages of Sita and Rita is 105 years. After 7 years the ratio of their ages that time will be 7 : 10 respectively. What is Rita’s present age ?
Answers
Explanation:
Given :
The sum of the present ages of Sita and Rita is 105 years.
After 7 years the ratio of their ages that time will be 7 : 10 respectively.
To find :
Rita’s present age.
Solution :
Let the present ages of Sita and Rita be x and y years.
ATP,
- x + y = 105 yrs
- x = 105 - y - (1)
After 7 years their ages :
- x + 7
- y + 7
ATP,
⇒ (x + 7)/(y + 7) = 7/10
⇒ 10(x + 7) = 7(y + 7)
⇒ 10x - 7y = -21 - (2)
Substituting value of (2) in (1) :
⇒ 10(105 - y) - 7y = -21
⇒ 1050 - 10y - 7y = -21
⇒ y = 63
∴ Rita's present age is 63 years.
Answer:
Given :
The sum of the present ages of Sita and Rita is 105 years.
After 7 years the ratio of their ages that time will be 7 : 10 respectively.
To find :
Rita’s present age.
Solution :
Let the present ages of Sita and Rita be x and y years.
ATP,
x + y = 105 yrs
x = 105 - y - (1)
After 7 years their ages :
x + 7
y + 7
ATP,
⇒ (x + 7)/(y + 7) = 7/10
⇒ 10(x + 7) = 7(y + 7)
⇒ 10x - 7y = -21 - (2)
Substituting value of (2) in (1) :
⇒ 10(105 - y) - 7y = -21
⇒ 1050 - 10y - 7y = -21
⇒ y = 63
∴ Rita's present age is 63 years.
Explanation:
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