Question

a two digit number is four times the sum of digits it is also equal to three times of the ages of digits find the number

Answer 1

Que: - A two digit number is four times the sum of digits it is also equal to three times of the product of digits find the number.

Let the number be 10x + y , where y present unit place and x = second place.

4* sum of digits = 10x + y

4x + 4y = 10x + y

3y - 6x = 0

y -2x = 0

y = 2x

Again

3 * xy = 10x + y

3 * x * 2x = 10x + 2x

6x² = 12x

x² = 2x

x = 2

and,

y = 2x

y = 2*2

x = 4

Hence, Number will be = 10*2 + 4 = 24