The hundreds digit and the ones digit of a three digit number are the same. the sum of its tree digits are 16. if the tens digit and the ones digit are exchanged, the number increases by 45. what is the number?

Step-by-step explanation:

       Let us denote the three digit number by , where is the hundreds digit, is the tens digit and is the ones digit.

       Hundreds digit = = Ones digit =

       Sum of digits =

       So,

       On exchanging tens and ones digit, value increases by 45. So is 45 greater than .

∴ Required number is 727

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950