Question

Sum of 2nos is 20 and difference etween their squares is 100.find the product of the nos

Answer 1

a+b=20,a^2-b^2=100=>(a+b)(a-b)=100..so 20*(a-b)=100 thus a-b =5..hence a=25/2 and b =15/2..a*b =375/4 ans.