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3 years ago

The sum of the digits of a certain two digit number is 11. Reversing its digits decreases the number by 27 what is the number

Mathematics

2 answers:

Oxana [17]3 years ago

6 0

Answer:

Step-by-step explanation:

7+4=11

74-47=27

ollegr [7]3 years ago

6 0

Let the digits of number be x and y

so,

number = 10y + x

given sum of digits = 11

so,

<em>x + y = 11 ...(1)</em>

also,

Reversing its digits decreases the number by 27

so,

reversed number = 10x + y

according to the question,

10x + y - (10y + x) = 27

10x + y - 10y - x = 27

9x - 9y = 27

9(x - y) = 27

<em>x - y = 3. ...(2)</em>

x + y + x - y = 11 + 3

2x = 14

x = 14/2

x = 7

putting the value of x on (2)

x - y = 3

7 - y = 3

-y = 3 - 7

- y = -4

y = 4

x = 7

so,

number = 10y + x

= 10(4) + 7

= 40 + 7

= 47

<h3><em>Required </em><em>number</em><em> </em><em>=</em><em> </em><em>4</em><em>7</em></h3>

<em>hope it helps</em><em> </em><em>!</em>

I'm new on this app anyone be my friend

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