Math, asked by sanyamd, 1 year ago

the result of dividing a number of two digit by the number with digits reversed is 7/4 if the sum of digit is 12 find the number

Answers

Answered by sagnikmaity
5
Answer:84
According to question,
84/42=7/4
and
8+4=12(proved)

Answered by aktshayaa7a20192020
1

Answer:

84

Step-by-step explanation:

Let’s consider the digit at tens place as x

And let the digit at unit place be y

The number is 10 × x + y × 1 = 10x + y

So, reversing the number = 10 × y + x × 1 = 10y + y

Then according to the first condition given in the problem, we have

(10x + y)/ (10y + x) = 1¾

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

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

40x + 4y = 70y + 7x

40x – 7x – 70y + 4y = 0

33x – 66y = 0

x – 2y = 0 … (i)

And according to the second condition of the given problem, we have

x + y = 12 … (ii)

From equation (i) and (ii), we have

x + y = 12

x – 2y = 0

(-)—(+)—(-)

3y = 12

y = 12/3

y = 4

On substituting the value of y in (i), we have

x – 2(4) = 0

x = 8

Therefore, the number is 10 x 8 + 4 = 84.

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