Shreya age is 7 year more than two times salary age if 3 year hence,sarla age will be 19 year more than Shreya age then find their present ages
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Correct Question:
- Shreya's age is 7 years more than two times Sarla's age. If 3 year hence, Shreya's age will be 19 years more than Sarla's age, then find their present ages.
Answer:
Step-by-step explanation:
Let,
the present age of Shreya be 'x' years
and
the present age of Sarla be 'y' years.
Now,
It is being given that,
Shreya's age is 7 yrs more than two times Sarla's age.
Therefore,
According to condition,
we get,
=> x = 2y + 7 .............(i)
Further,
After 3 years,
Shreya's age = (x+3) yrs
and
Sarla's age = (y+3) yrs
And,
it's given that,
Shreya's age will be 19 yrs more than Sarla's age.
Thus,
we get,
=> x + 3 = y + 3 + 19
Now,
Putting the value of x from Equation (i),
we get,
=> 2y + 7 + 3 = y + 3 + 19
=> 2y + 10 = y + 22
=> 2y - y = 22 - 10
=> y = 12
Thus,
=> x = (2 × 12) + 7 = 24 + 7
=> x = 31
Hence,
Shreya's Present Age = 31 years
Sarla's Present Age = 12 years
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