Question

a+number+consists+of+two+digits+whose+sum+is+7.+if+45+is+added+to+the+number+,+the+digit+are++reversed+.+find+the+numbers+

Answer 1

Answer:

suppose the unit digit = x

tens digit = 7-x

the original number = 10(7-x)+x

70-10x+x

70-9x

when we interchanging the digits= 10x+(7-x)

9x+7

by given condition = 9x+7=70-9x+45

= 18x = 70+45-7

x= 108/18

x= 6

unit digit = 6

tens digit = 1

number formed = 16

verification:-

when we add 45 in the number so we get 61

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