Question

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​

Answer 1

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