A, b, c and d are four consecutive even numbers respectively and their average is 65. what is the product of a and d
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x, x+2,x+4, x+6 / 4 = 65
4x+12 = 260
4x = 248
x = 62
62 * 68 = 4216
4x+12 = 260
4x = 248
x = 62
62 * 68 = 4216
Answered by
1
The product of a and d is 4216.
This can be either done orally or using a variable 'x'.
1st method:
If the average is 65, therefore it should be located in the middle of the series. So the four consecutive even numbers are considered to be 62,64 and 66,68( since 65 is an odd number we do not consider that).
2nd method:
Let the first number be x
So the next 3 consecutive even numbers are:
x, x+2,x+4, and x+6
As we know, (x, x+2,x+4, and x+6)/ 4 = 65
So, 4x+12 = 260
or, 4x = 248
Hence,x = 62
So the value of a is 62 and d is 68 and their product is 4216.
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