# A number consists of two digits whose sum is 8. If 18 is added to the number, its digits are reversed. find the number. a. 38 b. 35 c.53

2
by sopan

2015-03-31T12:09:37+05:30
Let the numbers be 10x and y
So,10x+y=8-----------------1
then, 10y+x-------------------2
From 1 and 2 we derive !!
10x+y+18=10y+x
9y=9x+18
9x-9y+18=0--------------3
y=x+2----------------------4
substituting 4 in 1

Henceforth,
the no will be 35

i didnt get my point
are you sleeping nw
no
brailnly thekkeri
wht does thekkeri mean?/.,#@!
2015-03-31T12:14:06+05:30

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Sum of two digits is 8 so take digit as A and B
so, A + B = 8........[1]
and for original no. 10A + B.....[2]
add 18 in this so, 10A + B + 18
the num. is reversed so 10B + A
10A + B + 18 = 10B + A
9A - 9B = -18
A - B = -2......[3]
from 3 A = -2 +B
put this in 1 and
-2 + B + B = 8
so B = 5
and form that A = 3
so no is 10[3] + 5 = 35 form eq. 2
the no is 35
but after adding 18 => 35 + 18 = 53
tell mr sopan if u know the answer why are asking question
ok but in que. after adding 18 what is the nu so and i also explain how 35 come