the sum of two digit number and number obtained by reversing the order of digits 44 if we take units place dugit be x tens place be y then linear equation in two variables formed by above statement
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Let the two digit be x and y
∴ Number (2−digit) =10×x+y
Sum of 2−digit and reverse of it
⟹10x+y+10y+x=66 (given)
∴x+y=6 (equation 1)
Digits differ by 2
∴x−y=2 (equation 2)
On adding,
2x=8
⟹x=4
∴y=2
or, x+y=6 From 1 equation
and y−x=2 From 2 equation
On adding:
2y=8
y=4
x=2
∴ Two digit numbers are: 42 and 24
There are two such numbers.
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