Q. The sum of two positive integers multiplied by the larger number is 204. The difference multiplied by the smaller number is 35. The larger number is

• let a and b be the 2 no.s , and a being the smaller
  (a+b)*b=204
  (b-a)*a=35
  on solving
  we get
  b^2+a^2 = 169=13^2
  remembering the pythagorean triplets of 5,12,13.
  We get the values of a=5 and b=12
• 11 years agoHelpfull: Yes(2) No(0)
• 12
  If larger numkber=x,Smaller number=y
  (x+y)x=204,x^2+xy=204 ---(i) &
  (x-y)y=35 ,xy-y^2=35 ---(ii)
  From (i) & (ii),x^2+y^2=169, So x=12,y=5
• 11 years agoHelpfull: Yes(1) No(1)