1/5 of an even number is added to 2/3 of the next even number to obtain 88,find the even number.

100

102

Step-by-step explanation:

Let the first even number be 2x

Let the next even number be 2x + 2

1/5 *(2x) + 2/3 (2x + 2) = 88

2/5 *x + 4/3 (x) + 4/3 = 88         Multiply by 15 to get rid of the fractions.

2*3 x + 20x + 20 = 88 * 15

6 x + 20x + 20 = 1320    

26x + 20 = 1320

26x = 1300

x = 1300/26

x = 50

2x = 100

2x + 2 = 102

1/5 * 100 = 20

2/3 * 102 = 34*2 = 68

20 + 68 = 88

5x+10 is the correct one

hope this