Question

d) The sum of two consecutive even numbers is 74. Find the numbers.​

Answer 1

Answer:

GIVEN :

• Sum of two even consecutive integer = 74

TO FIND :

Numbers

SOLUTION :

✯Let the numbers be x and x + 2.

$\sf \: x \: + x + 2 = 74$

$\sf \: 2x + 2 = 74$

$\sf \: 2x = 74 - 2$

$\sf \: 2x = 72$

$\sf \: x \: = \dfrac{72}{2}$

$\sf \: x \: = 36$

Numbers are

$\bf\pink{x = 36}$

$\bf \red{x + 2 = 36 + 2 = 38}$

Answer 2

Answer:

36 & 38

Step-by-step explanation:

Let x and x+2 be the two consecutive even numbers.

Given,

• Sum is 74.

Finding x :

x + (x+2) = 74

⇒x + x + 2 = 74

⇒2x + 2 = 74

⇒2x = 74 - 2

⇒x = 72/2

⇒x = 36

.°. x = 36

Finding the numbers :

• x = 36
• x+2 = 36 + 2 = 38

Hence, the two consecutive even numbers whose sum is 74 are 36 and 38.