Question

Arif has a brother one-third his age and a sister three times his age. If the combined ages of all three children is 5 less than twice the oldest, how old is arif?​

Answer 1

Answer:

answer is 3

Step-by-step explanation:

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Answer 2

Arif is 3 years old.

• An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C.
• Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.

Here, according to the given information, we are given that,

Arif has a brother one-third his age and a sister three times his age.

Let Arif's age be x.

Then, his brother's age will be $\frac{x}{3}$ and his sister's age will be 3x.

Now, x + $\frac{x}{3}$ + 3x = 6x - 5

Or, $\frac{3x+x+9x}{3} =6x-5$

Or, 13x = 18x - 15

Or, 5x = 15

Or, x = 3.

Hence, Arif is 3 years old.

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