Question

13. The sum of the digits of a two digit number is 7.If the digits are reversed, the number increased
by 3 equals 4 times the original number. Find the original number (Write the steps of working)
(3 Points)
Enter your answer​

Answer 1

10 ȶɦǟռӄֆ﹢ʄօʟʟօա=ɨռɮօӼ

Answer 2

Answer:

16 and 61

Step-by-step explanation:

Let the two digit number be 10x + y

The reversed number = 10y + x

According to the question

Part 1

Reversed number + 3 = 4(original number)

10y + x + 3 = 4(10x + y)

10y + x + 3 = 40x + 4y

3 = 39x - 6y

3(1) = 3(13x - 2y)

13x - 2y = 1 ----------------------------------(1)

Part 2

let the digits of the number be x,y

x + y = 7

x = 7 - y --------------------------------(2)

Substitute x value in equation (1)

13(7-y) - 2y = 1

91 - 13y - 2y = 1

91 - 15y = 1

90 = 15y

y = 6

x = 7 - y = 7 - 6 = 1

Therefore the original number is 10(1)+6 = 16

The reversed number is 61.

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