The sum of Lisa's age and Myra's age is 19. In 10 years, Lisa will be 5 years older than Myra. How old is each girl now?
we know that the distance between two people's ages will never be different, so Lisa will always be 5 years older than Myra. We can think of Myra's age as x, and because Lisa is 5 years older, she can be x+5. To find x, we can set up an equation where the sum of their ages is 19 --> x + (x+5) = 19. Combine like terms, and you have 2x+5=19. By solving for x, you should get x(Myra)=7, and x+5(Lisa)=12. To find their ages in 10 years, simply add 10 to each number.
thanks so much! It rlly helped
Thanks so much, cool beans! You explained it very nicely and told us the answer correctly. Great job!
To solve this problem, let's assign variables to represent the girls' ages.
Let's say Lisa's age is L, and Myra's age is M.
According to the problem, the sum of Lisa's age and Myra's age is 19. So we can write the first equation as:
L + M = 19 ---(Equation 1)
The problem also states that in 10 years, Lisa will be 5 years older than Myra. So we can write the second equation as:
L + 10 = M + 10 + 5 ---(Equation 2)
We add 10 to Lisa's current age (L + 10) because in 10 years, Lisa will be 10 years older than her current age. Similarly, we add 10 to Myra's current age (M + 10) and then add 5 because Lisa will be 5 years older than Myra.
Now we have a system of two equations (Equation 1 and Equation 2) with two unknowns (L and M). We can solve this system of equations to find the values of L and M.
Let's solve Equation 2 for M:
L + 10 = M + 15
M = L + 10 - 15
M = L - 5 ---(Equation 3)
Now substitute Equation 3 into Equation 1:
L + (L - 5) = 19
2L - 5 = 19
2L = 24
L = 12
Now that we have found Lisa's age, we can substitute L = 12 into Equation 3 to find Myra's age:
M = 12 - 5
M = 7
Therefore, Lisa is currently 12 years old and Myra is currently 7 years old.