Question

The product of the ages of Ankita and Nikita is 240 years. If twice the age of Nikita is more than Ankita's age by 4 years , then find Nikita's age

Answer 1

Answer:

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Step-by-step explanation:

so let the present age of ankita be x years and that of nikita be y years

according to the first condition

xy=240 (1)

according to the second condition

2y=x+4

ie x=2y-4 (2)

so substitute value of x in (1)

we get

2y square-4y=240

ie y square-2y-120=0

so thus then

y square-12y+10y-120=0

y(y-12)+10(y-12)=0

ie y=12 OR y=-10

but as age of any person is never negative

y=-10 is absurd

thus y=12

so substitute value of y in any of two equations

we get

x=20

hence age of nikita is 12 years