Question

LA
17. 32 times of a two digit number is 23 times the number obtained by reversing its digit. The
sum of its digit is 15 Find the number:
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Answer 1

Answer:

Solution,

Let the two digit number by 10x+y where x is at tens place and y is at ones place.

First condition,

32(10x +y) = 23(10y +x)

or, 320x +32y = 230y + 23x

or, 297x - 198y = 0..................(1)  

Second condition,

x+y=15............(2)

Solving (1) and (2),

x = 6 , y = 9

So, the number = 10x+y = 10×6+9 = 69

Step-by-step explanation: