Question

the sum of two digit no is 12 if 18 is added to it digits are riversed
find the no​

Answer 1

Answer:

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Answer 2

Answer:

The number is 57

Step-by-step explanation:

Solution :

Let,

Units digit = x

The sum of two digit no = 12

Tens digit = 12 - x

Original number :

$\longrightarrow$ 10 (12 - x) + x

$\longrightarrow$ 120 - 10x + x

$\longrightarrow$ 120 - 9x

★ If 18 is added to it digits are riversed :

Number with reversed digits =

10x + 12 - x

★ According to the Question :

$\longrightarrow$ (120 - 9x) + 18 = 10x + (12 - x)

$\longrightarrow$ 120 + 18 - 9x = 10x - x + 12

$\longrightarrow$ 138 - 9x = 9x + 12

$\longrightarrow$ 138 - 12 = 9x + 9x

$\longrightarrow$ 126 = 18x

$\longrightarrow$ x = 126 / 18

$\longrightarrow$ x = 7

Units digit = 7

Tens digit = 12 - x

$\longrightarrow$ 12 - 7

$\longrightarrow$ 5

Tens digit = 5

∴ The number is 57