a two digit number whose sum of digits is 14 .if 36 is added to the number , its number are interchanged .
Answers
Step-by-step explanation:
Let the ones digit of the number be'x'
Let the tens digit of the number be'10y'
The number is 10y+x
A/C(1)= y+x=14----(equation 1)
A/C(2)=(10y+x)+(36)=10x+y
=10x-x+y-10y=36
=9x-9y=36
=x-y=4----(equation 2)
Adding equation 1 and 2
x+y+x-y=14+4
2x=18
x=9----(equation 3)
putting x=9 in equation 1
y+9=14
y=5
Therefore, The number is 10y+x=(10)(5)+(9)
=50+9=59
Answer:
59
Step-by-step explanation:
Let ones digit be y and tens digit be x
Number = 10x + y
==: x + y = 14
==: 10x + y + 36 = 10y + x
==: 10x + y - 10y - x = -36
==: 9x - 9y = -36
==: x - y = -4
From 1 and 2 we get,,
x = 5 and y = 9
Number = 10x + y
= 10 * 5 + 9
= 59
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