Zakir's mother present age is six times Zakir's present age. Zakir's age 5 years from now will be one third of his mother's present age. what are their present ages
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refer to the answer below
let mothers present age be x years and zakira's age be y years.
accordingly,
x= 6y
x-6y= 0....(1)
after 5 years,
zakira will be (y+5)years old.
accordingly,
y+5= 1/3x.... (2)
multiplying(2) by 3,
3y+ 15= x
therefore,
x-3y= 15.....(3)
now,
subtracting eq. (3) from (1)
x-6y=0
-
x +3y= -15
-3y= -15
therefore, y= 15.
therefore, zakira is 15 years old at present.
substituting her age in eq (1)
x-6y=0
x- 75= 0
x= 75
zakira's mother is 75 years old
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