If sarthak and sakshi's age is x years and y years resp ,then sum of their ages is 25 is given by the equation.
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Answer:
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x+y=25....(i)
Next, we are given that Sarthak's age is less by 8 than double the age of Sakshi. Double the age of Sakshi is represented by 2y. So, the given statement can be written as an equation in the following manner,
x=2y−8....(ii)
from equation (ii) in equation (i). We get the following equation,
2y−8+y=25
3y−8=25⇒3y=25+8⇒3y=33∴y=11
Now, substituting this value of y in equation (ii), we get
x=2×11−8⇒x=22−8∴
x=14
x=14 y=11
x+y=25....(i)
Next, we are given that Sarthak's age is less by 8 than double the age of Sakshi. Double the age of Sakshi is represented by 2y. So, the given statement can be written as an equation in the following manner,
x=2y−8....(ii)
from equation (ii) in equation (i). We get the following equation,
2y−8+y=25
3y−8=25⇒3y=25+8⇒3y=33∴y=11
Now, substituting this value of y in equation (ii), we get
x=2×11−8⇒x=22−8∴
x=14
x=14 y=11