An eagle is 4 times as old as a falcon. Three years ago, the eagle was 7 times as old as the falcon. Find the present age of each bird. x = falcon's age now
4x = eagle's age now {the eagle is 4 times as old as falcon} x - 3 = falcon's age 3 years ago 4x - 3 = eagle's age 3 years ago 4x – 3 = 7(x – 3) {three years ago, eagle was 7 times the falcon} 4x – 3 = 7x – 21 {used distributive property} 4x = 7x -18 {added 3 to both sides} -3x = -18 {subtracted 7x from both sides} x = 6 {divided both sides by -3} 4x = 24 {substituted 6, in for x, into 4x} falcon is 6 now eagle is 24 now - Algebra House
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