Five years hence the age of Ali will be three times of his son . Five years ago Ali's age was seven times of his son find their present ages
Answers
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Here is your answer
Let present age of Ali = x year
And present Age of his son is = y year.
Five years hence,
Age of Ali will = x + 5 year
Age of his son will = y + 5year
Given that the age of Ali will be 3 times that of his son
x + 5 =3(y+5)
Add 5 both side we get
x = 3y + 15 - 5
x = 3y + 10 … (1)
Five years ago,
Age of Ali will = x - 5 year
Age of his son will = y - 5year
Ali’s age was seven times that of his son
x – 5 = 7(y -5)
Plug the value of x from equation (1) we get
3y + 10 – 5 = 7 y – 35
3y + 5 = 7y – 35
3y – 7 y = - 35 – 5
-4y = - 40
y = - 40 / - 4
y = 10 year
Plug the value of y in equation first we get
x = 3* 10 + 10
x = 40 years
Answer is
Present age of Ali = 40 years
Present age of his son = 10 years
Answer:
ali 40, son 10
Step-by-step explanation:
given ali+5=3(son+5)
and ali-5=7(son-5)
equating these equations cancels ali and we can find son age as 10 years
substituting son age in above 2 equations gives ali age as 40 years
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