Question

the sum of the digits of a two-digit number is 7 if the digits are reversed the new number will be two more than twice the orginal number find the number​

Answer 1

Answer:

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Step-by-step explanation:

so let the required two digit number be 10x+y

wherein digit at tens place is x and that of units ie onws place is y

so this reversed number is 10y+x

according to the first condition

x+y=7

so x=7-y (1)

according to the second condition

10y+x=2(10x+y)+2

=20x+2y+2

ie 8y=19x+2 (2)

substitute value of x from (1) in (2)

we get 8y=19(7-y)+2

=133-19y+2

=135-19y

so thus 27y=135

hence y=5

substitute value of y in any of two equations

we get x=2

so our required two digit number=10x+y

=(10×2)+5

=20+5

=25

thus our required two digit number is 25