Answer:
1. Jenny is 20 and Leo is 10 years old now
2. They'll meet at the 60th day after their last meeting on Monday
Step-by-step explanation:
1.
Given
Let J represents Jenny and L represents Leo
From the question;
J = 2L ---- Now
J - 5 = 3(L - 5) --- 5 years ago
Required
Find J and L
Substitute 2L for J in the second equation.
This gives
2L - 5 = 3(L - 5)
Open bracket
2L - 5 = 3L - 15
Add 15 - 2L to both sides
2L - 5 + 15 - 2L = 3L - 15 + 15 - 2L
Collect like terms
2L - 2L - 5 + 15 = 3L - 2L - 15 + 15
10 = L
L = 10
Substitute 10 for L in J = 2L
J = 2 * 10
J = 20
Hence, Leo is currently 10 years old and Jenny is currently 20 years old.
2. Give
Liza = once every 6 days.
Jenny = once every 4 days
Olga = once every 10 days.
Required
When next will they meet
This question implied that the we get the least common factor of the given data.
Liza = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72.....
Jenny. = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64....
Olga = 10, 20, 30, 40, 50, 60, 70, 80....
From the above, 60 is the least common factor.
Hence, we'll conclude that they'll meet after 60 days.
