hello
A number of two digits exceeds four times the sum of its digits by 3.If 36 is added to the number, the digits are reversed. Find the number.
#Urgently needed
Tnxaa
Answers
SOLUTION____✒️
Let the unit Digit of the number be x and ten's digit be y.
the number= 10y+x
=10y+x= 4(x+y)+3
=10y+x -4x- 4y= 3
= -3x+6y= 3
= -x+2y= 1___________(1)
the number by reversing its Digit= 10x+y
= 10y+x= 10x+y+36
= -9x+9y= 36
= -x+y=4__________(2)
Subtracting equation (2) from (1):
x=0, y= -3
the number is -30 ans.
#️⃣MARK BRAINLIEST✓✓
Let x = tens digit
y = unit digit
10x+y = the number
10y+x = the reversed number
The number of two digit exceeds 4 times the sum of the digits by 3
10x+y = 4(x+y)+3
If 36 is added to the number the digits are reversed
10y+x = 10x+y+36
9y = 9x+36
y = x+4
Substitute y with x+4
10x+x+4 = 4(x+x+4)+3
11x+4 = 4(2x+4)+3
11x+4 = 8x+19
3x = 15
x = 5
y = 9
The number is 59.
Let's
Check
59+36 = 95
95 = 95
59 = 4(9+5)+3
59 = 4(14)+3
59 = 56+3
59 = 59
Thanks!