## a certain sum of two digits is equal to five times the sum of the digits. If 9 is added to the number the digits are interchanged

Question

a certain sum of two digits is equal to five times the sum of the digits. If 9 is added to the number the digits are interchanged find the number by simultaneous linear equation

plz answer..it’s urgentâ€‹

in progress
0

Mathematics
11 months
2021-06-30T16:02:11+00:00
2021-06-30T16:02:11+00:00 1 Answers
0 views
0
## Answers ( )

Step-by-step explanation:Let the numbers in 2 digit number be x & y, such that number is 10x+y.

Given,

10x+y = 5(x+y), 5x = 4y.

10x+y+9 = 10y+x, 9(x+1) = 9y, y = x+1.

From points-1 & 2 , lets

y = (x+1) = 5x/4.

4x+4 = 5x

Therefore x = 4 & y = 5(x+1).

Hence number is 45 & their sum is 9.

Hope it helps!!