A two digit number is 3 more than 4 times the sum of its digit . If 18 is added to the number the digits are reserved find the number
Answers
let no. be 10x+y
Step-by-step explanation:
1)equation 10x+y=3+4(x+y)
2)equation 10x+y+18=10y+x
by solving these eq. x=2,y=4
no. be 10×2+4=24
Answer:
The digit is 35
Step-by-step explanation:
10x+y= x + y
10x+y +18 = 10y + x
10x+y = x+y
=10x+y =3 + 4x + 4y
= 10x- 4x+y -4y = 3
=6x - 3y =3 ................ equation( 1 )
= 10x +y+18=10y + x
=10x- x+ y- 10y = - 18
= 9x- 9y = - 18
= 9(x -y)= -18
= x- y = -18/9
=x- y= -2 ..........equation( 2)
1× eq 1= 6x-3y= 3
6× eq 2= x- y = -2
= 6x - 3y= 3
6x-6y = -12
( -) (+) = (+)
= 3y = -15
y =15/3
y = 5
Putting the value of y in equation( 1)
6x - 3y = 3
=6x - 3×5 =3
=6x - 15 = 3
=6x = 3 + 15
= 6x= 18
= x = 18/6
= x = 3
10x + y
=10 × 3 +5
= 30 + 5
= 35 (Answer)