Question

The product of the ages of 2 brothers is210.the difference between their ages is 1 year . Find their age

Answer 1

Answer:

14 and 15 years

Step-by-step explanation:

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Answer 2

Let the age of the 1st brother be x.

Let the age of the 2nd brother be y.

A/q,

x-y=1

or  x=1+y---------------(i)

now, xy=210

or   y(1+y)=210

or   y²+y=210

or   y²+y-210=0

or   y²-14y+15y-210=0

or   y(y-14)+15(y-14)=0

or   (y-14)(y+15)=0

=>   y-14=0   or   y+15=0

=>   y=14   or   y= -15

Age cannot be negative, so y=14.

x=y+1=14+1=15

Their ages are 14 and 15,

or 15 and 14(in case y=1+x)

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