Question

A two-digit number is obtained by either multiplying the sum of digits by 8 and then subtracting 5 or by multiplying the difference of digit by 16 and adding 3. Find the number. [CBSE 2012]​

Answer 1

Answer:

83

Step-by-step explanation:

Let the tenth's digit be x and one's digit be y.

Then the number is 10x+y. 

(x+y)×8−5=10x+y

⇒2x−7y=−5  

(x−y)×16+3=10x+y

⇒6x−17y=−3  

Multiplying (i) by 3, we get

6x−21y=−15    

Subtracting (ii) from (iii), we get

−4y=−12

⇒y=3. 

Substituting y=3 in (i)

2x−7×3=−5

⇒x=8 

∴ The number is 10×8+3=83 please mark me as brainlist for this answer