A) 23 yr
B) 34 yr
C) 45 yr
D) None of these
Correct Answer: B
Solution :
Let x and y be the ten's and unit's digits respectively of numeral denoting the woman's age Then, woman's age \[=(10x\times y)yr\] husband' age \[=(10y\times x)yr.\] Therefore \[(10y\times x)-(10x\times y)\] \[=(1/11)(10y+x+10x+y)\] \[\Leftrightarrow \] \[(9y-9x)=(1/11)(11y+11x)\] \[=(x+y)\] \[\Leftrightarrow \] \[10x=8y\] \[\Leftrightarrow \] \[x=(4/5)y\] Clearly, y should be a single-digit multiply of 5, which is 5, So, \[x=4,\text{ }\] \[y=5\] Hence, woman's age \[=10x+y=45yr\]You need to login to perform this action.
You will be redirected in
3 sec