1.

A two digit number is 3 more than 4 times the sum of its digits. If 18 is added to the number, the digit is reversed. Find the fraction​

Answer»

Answer:

Step-by-step explanation:

Given :-

Two digit NUMBER is 3 more than 4 times the sum of its digits. If 18 is added to the number, the digit is reversed.

To Find :-

The Number.

Solution :-

Let the TENS number be x

And the units digits be y

Number = (10x + y)  

1st Equation.

⇒ 10x + y = 4(x + y) + 3  

⇒ 10x + y = 4x + 4y + 3  

⇒ 6x – 3y = 3  

⇒ 2x –y = 1 ……….(i)  

2ND Equation.

10x + y + 18 = 10y + x  

⇒ 9x – 9y = -18  

⇒ x – y = -2 ……..(ii)  

On SUBTRACTING (ii) from (i)

x = 3  

Putting x value in Eq (i)

⇒ 2x –y = 1

⇒ 2 × 3 –y = 1  

⇒ y = 6 – 1

⇒ y = 5  

Number = (10x + y)

= 10 × 3 + 5

= 30 + 5

= 35  

Hence, the number is 35.


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