Question 149

The sum of the two digits of a two-digit number is 14. The difference between the first digit and the second digit of the two-digit number is 2. What is the product of the two digits of the two-digit number?

Solution

Let the number be $$10x + y$$

Acc to ques,

=> $$x + y = 14$$ and $$x - y = 2$$

Adding both equations, we get :

=> $$2x = 16$$

=> $$x = 8$$ and $$y = 6$$

$$\therefore$$ Product of the digits of the two - digit number = $$8 \times 6 = 48$$

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