The sum of Rachel and Mary is 20. Mary is 4 years younger than Rachel. What are their ages?
x = Rachel’s age {Mary is 4 years younger than Rachel}x - 4 = Mary’s age x + x - 4 = 20 {the sum of their ages is 20} 2x - 4 = 20 {combined like terms} 2x = 24 {added 4 to each side} x = 12 {divided each side by 2} x = 4 = 8 {substituted 12, in for x, into x - 4} Rachel is 12Mary is 8 Ask Algebra House
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