19 no please solve it
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hi!
let the no. be 10x + y
now,
it is given that, x + y = 5
therefore; x=5-y .......(1)
and, 10x + y + 27 = 10y + x (i.e. the reversed no.)
10x - x + 27 = 10y - y
9x + 27 = 9y
9x - 9y = -27
9(x-y) = -27
x-y = -27/9
x-y = -3
(5 - y)-y = -3 ..........from (1)
5-2y = -3
-2y = -3-5
-2y = -8
y = -8 / -2
y = 4
now,
x = 5-y
x = 5-4
x = 1
thus the no. 10x + y = 10(1) + 4
10+4
14 is the original no.
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