Question

Two 3 digit numbers are formed using the same integers and when they are added they form another 3 digit number with the same integers, find the added number?​

Answer 1

Question - Two 3 digit numbers are formed using the same integers and when they are added they form another 3 digit number with the same integers, find the added number?(954) (683) (488) ( 890)

Given - Two 3 digit numbers are formed using the same integers and when they are added they form another 3 digit number with the same integers.

Find - Number obtained after addition of numbers as per given information.

Solution - Neglecting last two options, as the possible three digit numbers to obtain sum of 488 and 890 are not possible.

The three digit numbers, less than the sum 683, possible in second option are only 386 and 368. Their sum will be 754, which is not as per the question.

Now taking the first option, the possible three digit numbers less than 954 are - 459, 495, 549 and 594.

The addition of these numbers is as follows-

459 + 495 = 954

459 + 594 = 1053

459 + 549 = 1008

549 + 495 = 1044

549 + 594 = 1143

495 + 594 = 1089

Thus, the added number from given options - 954 is obtained by addition of 459 and 495.

Hence, 954 is the added number or number obtained after addition.

Answer 2

Given :-Two 3 digit numbers are formed using the same integers and when they are added they form another 3 digit number with the same integers, find the added number ?

A) 954

B) 683

C) 488

D) 890

Solution :-

Checking all options one by one we get :-

A) 954 :-

Possible 3 digits from 9, 5 and 4 less than sum 954 are :-

• 459
• 495
• 549
• 594

then,sum of three digits :-

• 459 + 495 = 954 .
• 459 + 549 = 1008 .
• 459 + 594 = 1053 .
• 495 + 549 = 1044 .
• 495 + 594 = 1089 .
• 549 + 594 = 1143 .

B) 683 :-

Possible 3 digits from 6, 8 and 3 less than sum 683 are :-

• 386
• 368

then,sum of three digits :-

• 386 + 368 = 754 .

C) 488 :-

Possible 3 digits from 4, 8 and 8 less than sum 488 are :-

• None .
• Since possible three digits formed sum will always be greater then given sum .

D) 890 :-

Possible 3 digits from 8, 9 and 0 less than sum 890 are :-

• None .

therefore, we can conclude that, 459 and 495 are two 3 digit numbers whose sum 954 is equal to digit number with the same integers .

Hence, Option (A) 954 is the added number.

Learn more :-

if a nine digit number 260A4B596 is divisible by 33, Then find the number of possible values of A.

brainly.in/question/32686002

if n is an integer such that 1nn352 is a six digit number

brainly.in/question/26617043