Question

There is a numbers consisting of two digits the sum of whose digits is 5 and if 10 times the digit in tens place be added to 4 times the digit in the unit place the number will be interchanging .what is the number

Answer 1

Given : There is a numbers consisting of two digits the sum of whose digits is 5  

if 10 times the digit in tens place be added to 4 times the digit in the unit place the number will be interchanging  

To find :   number

Solution:

a numbers consisting of two digits = XY

X + Y = 5  

10X + 4Y   =   10Y + X

=> 9X  = 6Y

=> 3X  = 2Y

3X  = 2(5 - X)

=> 3X = 10 - 2X

=> 5X = 10

=> X = 2

Y = 3

23

23 is the number

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