Question

the sum of 2 digit no. is 7 if the digit are reversed , the new no. is increase by 3 less 4 times the original no. find the orginal​

Answer 1

EXPLANATION.

• GIVEN

sum of digit of two digit number = 7

if the digit are reversed the new number is

increased by 3 less 4 times the original number

Find the original number,

Let the digit at unit place = x

Let the digit ar tens place = y

original number = 10x + y

reversing number = 10y + x

according to the question,

sum of digit of two digit number = 7

x + y = 7 .....(1)

if digit are reversed the new number is

increased by 3 less than 4 the original number.

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

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

6y - 39x = - 3

2y - 13x = -1

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

multiply equation (1) by 2 we get,

2x + 2y = 14

we get,

15x = 15

x = 1

put x = 1 in equation (1)

we get,

1 + y = 7

y = 6

Therefore,

original number = 10x + y

10(1) + 6 = 16

original number = 16

Answer 2

Answer:

original number is 16

Step-by-step explanation:

16