A grandmother says her grandson is two years older than her grandaughter and together,there are atleast 12 years old. How old are her grandson and gradaughter?

Question

A grandmother says her grandson is two years older than her grandaughter and together,there are atleast 12 years old. How old are her grandson and gradaughter?

Answer 1

Let x = the granddaughter's age

Let x + 2 = the grandson's age

 

x + x + 2 ≥ 12        Collect like terms.

           2x ≥ 12            Divide both sides by 2.

             x ≥ 6 years

      x + 2 ≥ 8 years

 

 

Answer 2

let n=age of granddaughter

let n+2=age of grandson

n+n+2>12

2n+2>12

2n>10

n>5 for the granddaughter's age

n+2>7 for the grandson's age