Dylan, Alan, Bruce, and Cecil are brothers. Dylan weighs d pounds. Alan weighs 3 pounds more than twice what Dylan weighs. Bruce weighs 12 pounds less than three times what Dylan weighs. If Cecil weighs the same as the combined weight of Bruce and Alan, what is Cecil's weight in terms of Dylan's weight (d) ?

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Mathematics

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30 April, 04:12

Dylan, Alan, Bruce, and Cecil are brothers. Dylan weighs d pounds. Alan weighs 3 pounds more than twice what Dylan weighs. Bruce weighs 12 pounds less than three times what Dylan weighs. If Cecil weighs the same as the combined weight of Bruce and Alan, what is Cecil's weight in terms of Dylan's weight (d) ?

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Jade Vaughan · Answer 1

Let:

d = Dylan's weight

2d+3 = Alan's weight

3d-12 = Bruce's weight

Since it is given that Cecil's weight is a combined weight of Alan's and Bruce's, the general expression of his weight would be:

2d+3+3d-12

Simplifying, Cecil's weight in terms of Dylan's weight would be 5d-9.