22. Francisco is three years more than twice Jenna's age. Harrison is two years less than three times Jenna's age.If Jenna's age is given by a, then write an expression for Francisco's age, Harrison's age, and the sum of allthree ages, in terms of a.
Accepted Solution
A:
Answer:An expression for Francisco's age in terms of a is (2a+3)An expression for Harrison's age in terms of a is (3a-2)An expression for the sum of all three ages, in terms of a is (6a+1)Step-by-step explanation:Leta -----> Jenna's ageb -----> Francisco's agec -----> Harrison's agewe know thatFrancisco's age is two times Jenna's age plus three yearsb=2a+3 -----> equation AHarrison's age is three times Jenna's age minus two yearsc=3a-2 ----> equation BThe sum of all three ages, in terms of a is (a+b+c) -----> equation Csubstitute equation A and equation B in equation Ca+(2a+3)+(3a-2)Combine like terms(a+2a+3a)+(3-2)6a+1thereforeAn expression for Francisco's age in terms of a is (2a+3)An expression for Harrison's age in terms of a is (3a-2)An expression for the sum of all three ages, in terms of a is (6a+1)