Anumber consists of two digits whose sum is 12. if 16 is added to the number, then one of the digits is four times the value of the other. what is the number?

The number is 12.

Step-by-step explanation:

Since we have given that

Sum of two digits = 12

Let the one's digit be 'x'

Let the ten's digit be '12-x'

So, Original number would be

If 16 is added to the number, then one of the digit is four times the value of the other.

According to question, we get that

so, the one's digit be 'x'.

Let the ten's digit be '4x'.

so, New number would be

According to question, it becomes,

So, the number would be

Hence, the number is 12.

rx and sx

step-by-step explanation:

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.