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