Jared and Leto appeared for an examination. Jared secured 50 marks more than Leto. 50% of the sum of the marks secured by both Jared and Leto is equal to 100. What are the individual marks secured by them respectively?

125, 75

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75, 125

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100, 50

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150, 100

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200, 150

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Solution

The correct option is A
125, 75

Let marks scored by Jared and Leto be $A$ and $B$ .
$\Rightarrow$ $A = B + 50$
$\Rightarrow$ $\frac{A + B}{2} = 100$
$\Rightarrow$ $2 B + 50 = 200$
$\Rightarrow$ $B = 75$
$\Rightarrow$ $A = 125$
Jared scored 125 marks and Leto scored 75.

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Jared and Leto appeared for an examination. Jared secured 50 marks more than Leto. 50% of the sum of the marks secured by both Jared and Leto is equal to 100. What are the individual marks secured by them respectively?

The correct option is A 125, 75 Let marks scored by Jared and Leto be A and B. ⇒ A=B+50 ⇒A+B2=100 ⇒2B+50=200 ⇒B=75 ⇒A=125 Jared scored 125 marks and Leto scored 75.

The correct option is A
125, 75

Let marks scored by Jared and Leto be $A$ and $B$ .
$\Rightarrow$ $A = B + 50$
$\Rightarrow$ $\frac{A + B}{2} = 100$
$\Rightarrow$ $2 B + 50 = 200$
$\Rightarrow$ $B = 75$
$\Rightarrow$ $A = 125$
Jared scored 125 marks and Leto scored 75.