Answer:
18 yrs and
7 years
Step-by-step explanation:
Let Henry’s age be A and Paul’s age be B
Given Henry’s age A is 10 yrs less than 4 times Paul’s age B.
That’s
A =4 x B - 10
A = 4B - 10
The sum of their ages is equal to 25
That’s
A + B = 25
Therefore,we no now have to equations
1. A = 4B - 10
2. A + B = 25
Now put 4B - 10 in place of A in equation 2
We have
A + B = 25
4B - 10 + B = 25
This can also be written as
4B + B - 10 = 25
5B - 10 = 25
Add 10 to both sides
5B - 10 + 10 = 25 + 10
5B = 35
Divide both sides by 5
5B/5 = 35/5
B = 7
Paul’s age = 7 yrs
Recall A = 4B - 10
and B= 7
Therefore,
A = 4 x 7 - 10
A = 28 - 10
A = 18
Henry’s age = 18 yrs
Their ages are 18 yrs and 7 years
