Question

The digits of a two digit number differ by 3. If the digits are interchanged ,and the resulting number is added to the original number, we get 143.What can be the original number

Answer 1

Answer:

number is 85

Step-by-step explanation:

let the digits in tens place be x and units place be y

so number will be : 10x+y

for example :34= 3(10)+4

now difference is x-y=3

also if digits are interchanged

so now new number will be 10y+x

so now new number and old number are added

10x+y +10y+x=143. (given)

11x+11y=143

11(x+y)=143

x+y=13

x-y=3. (given)

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2x=16

x=8

therefore y=5

original number 10x+y=10(8)+5=85

u can verify 85+58=143 and 8-5=3