2. (a) In a two-digit number the digit at the units place is 3 more than the digit at the tens place and the sum of the digits is 11. Assuming the digit at the tens place to be x, form an equation from the statement
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Step-by-step explanation:
Let the one's digit be y and tens digit be x,
Number = 10 x + y
Then,x=3 y⋯(i)
Reversed number = 10 y + x
A.t.Q :- (10 x+y)−(10 y+x)=36 Put x = 3 y in e q. (i)
⇒9 x−9 y=36
⇒x−y=4⋯(ii)
⇒3 y−y=4
∴2 y=4 x=3 y ∴x=6
y=2
∴ Number = 62
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