Question

The sum of the two digits of a number is 12 if the number is reversed the number is greater than the original number by 18. find the number

Answer 1

Answer:

two digit number is 75 = 7 + 5 = 12

if reverse it 57, then 75 - 57 = 18

original number 75 is greater than 18 of reverse number.

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

For the original number,

ones digit =x

tens digit =y

It is given that sum of digits is 12

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

value of tens digit =10×y

=10y

value of ones digit=1×x

=x

original number=10y+x....(2)

For the reversed number

Number will be =10x+y...(3)

It is given that the reverse number is 18 more

the required equation is

10x+y=10y+x+18

10x-x+y-10y=18

9x-9y=18

9(x-y)=18

x-y=2...(4) Adding (1) and (2) eqns

x+y+x-y=14

2x=14

x=7

putting the value of x in equation (1)

we get y=5

so original number is 57

hope it helps

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