Question

Joseph's weight is two times the weight of his younger brother .find Joseph's weight if sum of their weights is 63 kg​

Answer 1

Answer :

• Joseph's weight is 42 kg.

Given Information :

• Joseph's weight is two times the weight of his younger brother.

• Sum of their weights is 63 kg.

To calculate :

• Joseph's weight.

Clarification :

Here, we are provided that the Joseph's weight is two times the weight of his younger brother and sum of their weight is 63 kg. First of all, we'll assume his younger brother's weight as a variable, say x kg, after that we'll form an algebraic expression of Joseph's weight according to the given information. After that, by forming a suitable linear equation and by solving that equation we'll find the value of x and by substituting the value of x in algebraic expression of Joseph's weight we'll find Joseph's weight.

Explication of steps :

Let the weight of Joseph's younger brother be x kg.

Accroding to the question,

$\longrightarrow$ Joseph's weight = 2 × Weight of Joseph's younger brother

$\longrightarrow$ Joseph's weight = 2x

Let is be the $\pmb { \mathfrak { Equation \: 1 } }$.

Also, as per the given condition,

» Sum of their weights is 63 kg.

→ Joseph's weight + His brother's weight = 63 kg

→ 2x + x = 63

→ 3x = 63

→ x = $\sf \dfrac{63}{3}$

→ x = 21

As we have assumed Joseph's younger brother weight as x , so weight of his brother is 21 kg. Now, let's find out Joseph's weight.

Substitute the value of x in the equation (1).

$\longrightarrow$ Joseph's weight = 2x

$\longrightarrow$ Joseph's weight = 2(21) kg

$\longrightarrow \boxed{\textbf { \textsf {Joseph's \: weight= 42 \: kg}}}$

Therefore, weight of Joseph is 42 kg.

Verification :

According to the given question, sum of their weights is 63 kg. So, if we substitute their ages in the equation and if the sum is 63 then our answer is accurate.

→ Sum of their weights is 63 kg.

→ Joseph's weight + His brother's weight = 63 kg

• As per the given condition, Joseph's weight is 2x kg since his brother's weight is x kg.

L.H.S :

→ 2x + x

• Value of x is 21.

→ 2(21) + 21

→ 42 + 21

→ 63

R.H.S :

→ 63

We get that L.H.S = R.H.S. Hence, verified!