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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

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a. 38 b. 35 c.53

by sopan

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So,

then,

From 1 and 2 we derive !!

substituting 4 in 1

Henceforth,

the no will be

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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**

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 =