pls answer very important
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x = 2
y = 6
Step-by-step explanation:
- It is given that digit at units place is twice the digits at tens place , meaning , y = 2x [where x is the tens place and y is units place].
- Now it is also given that if 27 is added , its digits get interchanged , meaning , 10x + y + 27 = 10y + x [the digits are interchanged] or
27 = 10y - y + x - 10x
27 = 9y - 9x
27 = 9(y - x)
[divide by 9 on both sides]
3 = y - x
- So the equations given are -
y = 2x (1)
3 = y - x (2)
now all we have to is to find x and y.
substitute (1) in (2) ,
3 = 2x - x
3 = x
Now we got that x = 2 , therefore y = 2x = 2(3) = 6
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