Q. The difference of the squares of the digits constituting a positive two-digit number is 13. If we subtract 9 from that number, we shall get a number written by the same digits in the reverse order. Find the number.
A
56
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
65
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
76
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
87
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is C 76 x2−y2=1310x+y−9=10y+xx=y+1(y+1)2−y2=132y+1=13y=6x=7