Question

Answer with explanation plz ✌️✌️✌️✌️​

Answer 1

Answer:

24

Step-by-step explanation:

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

Thus, number = x + 10y   ----- (1)

 

Given, Number equals 4 times of sum of digits,

⇒ x + 10y = 4(x+y)  

⇒ x + 10y = 4x + 4y

⇒ 3x - 6y = 0

⇒ 3x = 6y

⇒ x = 2y

(ii)

Given, number equals three times the product.

x + 10y = 3(xy)

Place x = 2y in (ii), we get

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

⇒ 12y = 6y²

⇒ y = 2

Place y = 2 in above equation, we get

x = 2y

⇒ x = 2(2)

⇒ x = 4

Then,

Number = 4 + 10(2) = 24

Therefore,

Number = 24

Hope it helps!