First, let us define our variables.
Let
x = age of the father
y = age of the son
z = age of the daughter
5 years ago..
(x – 5) = age of the father
(y – 5) = age of the son
(z – 5) = age of the daughter
After 18 years...
(x + 18) = age of the father
(y + 18) = age of the son
(z +18) = age of the daughter
From the first condition
y = z + 5 à
eqn 1
5 years ago
(x-5) = 23 + (y-5) + (z-5)
x –y –z = 18 à
eqn 2
after 18 years
(x+18) = 17*[(y +18 –z – 18)]
x – 17y + 17z = -18 à
eqn 3
solving the 3 equations simultaneously
x = 67
y = 27
z = 22
Answer:
Exact form: x=5/2,-4
Decimal form: x=2.5, -4
Mixed number form: x=2 1/2, -4
Step-by-step explanation:
Expanded Notation Form:
50 +9 + 0.6+ 0.09
Expanded Factors Form:
5 × 10 +9 × 1 +6 × 0.1+9 × 0.01
Expanded Exponential Form:
5 × 101+9 × 100+6 × 10-1+9 × 10-2
Word Form:
fifty-nine and sixty-nine hundredths
Just can decorate 2 full cakes. 6 divides by 3 is 2. So she decorated 2 per hour. If you do the work it’s 2 divided by 0.75 (3/4) you get 2 2/3. But that’s not a full 3 cakes so only 2. Glad to help!
