Question

number.
14. A two-digit number is 3 more than 4 times the sum of its digits. If 18
added to the number, the digits are reversed. Find the number.
​

Answer 1

Answer:

let x be tens place and y be the ones place

no =10x+y

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

10x+y=4x+4y+3

6x-3y=3

2x-y=1_______(I)

10x+y+18=10y+x

9x-9y=-18

×-y=-2_______(2)

subtract 2 from 1

2x-y=1

x-y=-2

_ + +

--------

x=3 y=5

no = 3×10+5=35