A woman says, "If you reverse my own age, the figures represent my husband's age. He is, of course, senior to me and the difference between our ages is one-eleventh of their sum." The woman's age is

A. 23 years
B. 34 years
C. 45 years
D. None of these

• C. 45 years
  
  as 54-45 = (1/11)*(45+54)=99/11=9
• 13 years agoHelpfull: Yes(4) No(4)
• let husband age=10x+y
  and wife age=10y+x
  
  (10x+y)-(10y+x)=1/11(10x+y+10y+x)
  9x-9y=1/11(11x+11y)
  9(x-y)=x+y
  integers satisfyng this eqn are nly 5 n 4
  
  so C.45yrs
• 9 years agoHelpfull: Yes(0) No(1)
• none of these
  23+32=55=>diffr is 9=>1/9 of 55 around 6
  34+43=77=>differ is =>1/9 0f 77 around 8.5
  45+54=99=>differ is =>1/9 of 99 around 10
• 9 years agoHelpfull: Yes(0) No(2)