Question

A three digit number is such that the sum of its digits is 17. The middle digit of the number is 6. If 297 is subtracted from the number, the hundreds digit and the units digit of the number are interchanged. Find the number select one:

a. 863

b. 764

c. 962

d. 562

Answer 1

Let the unit digit and hundreds digit be x and y respectively
Given
x+6+y=17
x+y= 11. EQ 1
Number = 100y+60+x
Given
100y+60+x-297= 100x+60+y
99y-99x=297
y-x= 3. EQ 2
Adding Eq1 and Eq2
2y=14
y=7
x+y=11
x=11-7=4
Number= 100y+60+x= 100*7+60+4= 764
Please mark the answer brainliest....