Ram weighs \[25kg\] more than Shyam. Their combined weight is \[325kg\]. How much does Shyam weigh?
A. \[150kg\]
B. \[200kg\]
C. \[125kg\]
D. \[160kg\]
Answer
621.3k+ views
Hint: Consider the weight of shyam as one variable. Then from that variable form an equation for ram’s weight. Later the addition of both the equations and equate it to $325$ to get the required answer.
Complete step-by-step solution:
So let us assume that the weight of Shyam is \[x\]\[kg\].
Therefore Ram weighs \[25\] more than Shyam.
Weight of Ram equal to \[25{\text{ }} + kg.\]
Also given that their combined weight is \[325{\text{ }}kg.\]
Weight of Ram+weight of Shyam= \[325{\text{ }}kg.\]
Therefore \[x + (25 + x) = 325\]
\[ \Rightarrow \] \[x + 25 + x = 325\]
Now, here we adding \[x + x = 2x\]
\[ \Rightarrow \] \[2x + 25 = 325\]
\[ \Rightarrow \] \[2x = 325 - 25\]
\[ \Rightarrow \] \[2x = 300\]
Therefore \[ax = b\] implies \[x = \dfrac{b}{a}\]
\[ \Rightarrow \] \[x = \dfrac{{300}}{2}\]
\[ \Rightarrow \] \[x = 150kg\]
Therefore ex plus \[25{\text{ }} + \;x\] equal \[325{\text{ }}kg\].
Therefore the weight of Shyam is \[150{\text{ }}kg\] because we have assumed \[x\] kg to be the weight of Shyam.
Option A is the correct answer.
Note: Weight and mass are sound to be the same but they’re not the same.The weight of a body can never be negative.Weight can be smaller up to many kg.A unit of weight (in SI unit) is kg.Grams, milligrams, and micrograms are many such units off wait which are interconvertible means can we changed from one unit to another.
Complete step-by-step solution:
So let us assume that the weight of Shyam is \[x\]\[kg\].
Therefore Ram weighs \[25\] more than Shyam.
Weight of Ram equal to \[25{\text{ }} + kg.\]
Also given that their combined weight is \[325{\text{ }}kg.\]
Weight of Ram+weight of Shyam= \[325{\text{ }}kg.\]
Therefore \[x + (25 + x) = 325\]
\[ \Rightarrow \] \[x + 25 + x = 325\]
Now, here we adding \[x + x = 2x\]
\[ \Rightarrow \] \[2x + 25 = 325\]
\[ \Rightarrow \] \[2x = 325 - 25\]
\[ \Rightarrow \] \[2x = 300\]
Therefore \[ax = b\] implies \[x = \dfrac{b}{a}\]
\[ \Rightarrow \] \[x = \dfrac{{300}}{2}\]
\[ \Rightarrow \] \[x = 150kg\]
Therefore ex plus \[25{\text{ }} + \;x\] equal \[325{\text{ }}kg\].
Therefore the weight of Shyam is \[150{\text{ }}kg\] because we have assumed \[x\] kg to be the weight of Shyam.
Option A is the correct answer.
Note: Weight and mass are sound to be the same but they’re not the same.The weight of a body can never be negative.Weight can be smaller up to many kg.A unit of weight (in SI unit) is kg.Grams, milligrams, and micrograms are many such units off wait which are interconvertible means can we changed from one unit to another.
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