Question

7. A two digit number is 4 times the sum and
3 times the product of its digit. The number is
(a) 28 (6) 24 (c) 36 (d) 48
15.
8
TL
CL​

Answer 1

Heyaa♡♡

Let unit-place digit be x and tenth-place digit be y.

Then number is x+10y

Given : Number equals 4 times of sum of digits,

x+10y = 4(x+y)

or 3x-6y = 0

or x = 2y .......................(1)

Given: Number equals 3 times product of its digits,

x+10y = 3(xy) ...................(2)

By substituting for x from eqn.(1) , eqn.(2) is written as,

2y+10y = 3(2y.y)

12y = 6y2

or y = 2

Hence x = 2y = 2(2) = 4

Number is 20+4 = 24

Hope it helped you.