Question

10th class
linear equations

1) A two digit number is obtained by either the sum of digits by 8 and then subtracting 5, or by multiplying the difference of digits by 16 and adding 3. Find the numbers.

please do step by step

Answer 1

Answer:  required number = 83

Explanation:

Let the digit at tens place = x

let the digit at ones place = y

8 ( x + y ) - 5 10x + y

8x + 8y - 5 = 10x + y

-2x - 5 = -7y

-2x - 5 = -7y

-2x + 7y = 5       × 3

16( x - y ) + 3 = 10x + y

16x - 16y + 3 = 10x + y

6x - 17 y = -3

-6x + 21y = 15

6x - 17y = -3

___________

4y = 12

y = 3

6x - 17(3) = -3

6x = -3 = 51

6x = 48

x = 8

Answer 2

Explanation:

$\huge\purple{Answer:-\:}\downarrow$

$8$