Ernestobreak639viz
Answered

Gina is thinking of a number less than 700. when she interchanges the ones and the hundreds digits,the number increases by 297. when she interchanges the ones and tens digits ,the result increases by 18. can you find one number Gina is thinking of ?

Sagot :

Mlcparra16viz
We can represent this number by abc so:

cba - abc = 297
(100c+10b+a) - (100a+10b+c) = 297
99 (c-a) = 297
c - a = 3
c - 3 = a

acb - abc = 18
(100a+10c+b) - (100a+10b+c) = 18
9 (c-b) = 18
c - b = 2
c - 2 = b

a < 7
c - 3 < 7 
c < 10

The number's digits are c-3, c-2 , c so one possible number is (when c=4) 124.