Question

the sum of a 2 digit number and the number obtained by reversing the digits is 165 if the digits differ by 3 find the number by cross multiplication method
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Answer 1

Answer:

96

Step-by-step explanation:

The number whose sum with the number obtained by reversing the order of the digits is 165 and the difference between the digits is 3 is 96. Hence, both the conditions are satisfied

Answer 2

Answer:

96

Step-by-step explanation:

Let unit digit be x and ten's digit be y

then number =10y+x

According to problem

(10y+x)+(10x+y)=165

⇒ x+y=15      (i)

and x−y=3     (ii)

or y−x=3        (iii)

On solving equation (i) and (ii) x=9 and y=6

∴ The number will be 69

On solving equation (i) and (iii) x=6 and y=9

∴ The number will be 96