Question

A two digit number is such that the sum of its digits is thrice the difference of its digits. if the number exceeds the number formed by reversing its digits by 36 .find the number

Answer 1

a = 2b
b = a-4
ab = 84

Answer 2

84 is a two digit number such that the sum of its digits is thrice the difference of its digits.and it exceeds the number formed by reversing its digits by 36

Step-by-step explanation:

Let say Number = XY

Value = 10X +  Y

by reversing digits number = YX

Value = 10Y + X

Number exceeds the number formed by reversing its digits by 36

=> 10X  + Y  = 10Y + X  + 36

=> 9X - 9Y = 36

=> 9(X - Y) = 36

=> X - Y =  4

Sum of its digits is thrice the difference of its digits

=> X + Y  = 3(X - Y)

=> X + Y = 3 * 4

=> X + Y = 12

X + Y = 12

X - Y  = 4

=> 2X = 16

=> X = 8

=>Y = 4

number = 84

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