Question

the result of dividing a number of two digits by the number with digits reversed is
$1 \frac{3}{4}$
.if the sum of digits is 12,find the number​

Answer 1

Answer:

given number is 84

Step-by-step explanation:

let the number = 10x + y

A.T.Q

(10x + y)/(10y + x) = 1¾

(10x + y)/(10y + x) =7/4

4(10x + y) = 7(10y + x)

40x + 4y = 70y + 7x

40x + 4y - 70y - 7x = 0

33x - 66y = 0

divide by 33

x - 2y = 0 --------(1)

x + y = 12 --------(2)

on subtract eq 1 and 2

x - 2y = 0

x + y = 12

- - -

-3y = -12

3y = 12

y = 12/3

y = 4

put y in eq 1

x - 2y = 0

x - 2(4) = 0

x - 8 = 0

x = 8

number is 10x + y = 10 × 8 + 4

= 80 + 4 = 84