Great-grandfather 6705

Monika was born on the day his great-grandfather was 90 years old. How old is Monika if the product of their ages is 1000?

Correct answer:

m =  10

Step-by-step explanation:

m(m+90)=1000  m2+90m1000=0  a=1;b=90;c=1000 D=b24ac=90241(1000)=12100 D>0  m1,2=2ab±D=290±12100 m1,2=290±110 m1,2=45±55 m1=10 m2=100  m>0 m=m1=10

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