Question

the sum of the two digit number is 12 if new number formed by reserving the digit is greater than the original number by 18 find original number check your solution​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

number is 57

Step-by-step explanation:

let the digit in unit place be y and tens place be x

2 digit number will be 10x+y

sum of digits is 12 so

x+y=12........(1)

now they reverse digits

so now x will be in units place and y will be in tens place

new number: 10y+x

it is greater than original number by 18

so

10y+x=10x+y+18

9y-9x=18

9(y-x)=18

y-x=2

-x+y=2.......(2)

equating eq.(1)&(2)

x+y=12

-x+y=2

______

2y=14

y=7

x=5

original number =10x+y=57

so re-evaluating

75=57+18

true