Question

the sum of two conseçutive even number is 114. the number are :- a) 150 and 64 b) 54 and 60 c) 56 and 58 d) 60 and 54
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Answer 1

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The sum of two consecutive even number is 114.

• a) 150 and 64
• b) 54 and 60
• c) 56 and 58
• d) 60 and 54

if we take $a)$ 150 + 64 = 214 ✖️

if we take $b)$ 54 + 60 = 114 ✔️

if we take $c)$ 56 + 58 = 114 ✔️

if we take $d)$ 60 + 54 = 114 ✔️

$\rightarrowtail$ Hence,$a)$ is wrong.

Answer 2

Given :

• The sum of two consecutive even number is 114.

To Find :

• the numbers.

Solution :

Let the first even number be x.

Then, second even number = x + 2.

ATQ,

➪ x + (x + 2) = 114

➪ 2x + 2 = 114

➪ 2x = 114 - 2

➪ x = 112/2

➪ x = 56

Hence,

• first even number = 56
• second even number = 56 + 2 = 58

∴ Option c) 56 and 58 is correct.

Verification :

Substituting x = 56, we get

➪ x + (x + 2) = 114

➪ 56 + (56 + 2) = 114

➪ 56 + 58 = 114

➪ 114 = 114

Hence, verified. ✔️