Jay discovers that if he multiplies his age by 3, reverses the number and them divides the answer by 3, the answer equals his older brother's age. Jay's mother points out that another way to find the brother's age is to simply reverse Jay's age. How old is Jay?

Jay's age = 13, 12, or 23

Step-by-step explanation:

Let x and y represent  the tens and units of Jay's age

We are given that his older brother's age = yx where;

xy + xy + xy = 3x3y is a 2 digit number of tens 3x and units 3y

Therefore, 3x < 10, and 3y < 10, which gives, x and y are each less than 3

Where, x < y given that Jay is the younger of the two brothers

We can have;

x = 1, 2, and y = 3, or 2, y = 3

Therefore, Jays age can be 13, 12, or 23, his brothers age can then be 31, 21, or 32

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights