Jasmine is 5 years younger than twice her sister's age. If the sum of jasmine and her sister's age is 61, how old are the girls?

jasmine is 39, her sister is 22

Step-by-step explanation:

let j be jasmine's age and s be her sister's age. we can set up these two formulas:

2s - 5 = j

j + s = 61

replace j in the second formula with 2s - 5:

2s - 5 + s = 61

simplify: 3s - 5 = 61

add 5 to each side: 3s = 66

divide each side by 3: s = 22

now replace s with 22 in the first formula:

2 (22) - 5 = j

multiply: 44 - 5 = j

subtract: 39 = j