SOLUTION: The sum of the ages of Mr.Daniel and his daughter is 60 years. 5 years ago, the ratio of their ages was 1:4. 1.how old are they now? 2.find the difference between their ages

Question 1075816: The sum of the ages of Mr.Daniel and his daughter is 60 years. 5 years ago, the ratio of their ages was 1:4. 1.how old are they now? 2.find the difference between their ages

Found 2 solutions by Alan3354, ankor@dixie-net.com:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The sum of the ages of Mr.Daniel and his daughter is 60 years. 5 years ago, the ratio of their ages was 1:4.
----
5 years ago the sum was 50 --> 10 & 40
etc.
========================
1.how old are they now? 2.find the difference between their ages
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The sum of the ages of Mr.Daniel and his daughter is 60 years.
let f = the father's present age (Daniel)
let d = the daughter's age
therefore
f + d = 60
5 years ago, the ratio of their ages was 1:4.
=
Cross multiply
f - 5 = 4(d-5)
f - 5 = 4d - 20
f - 4d = -20 + 5
f - 4d = -15
use elimination on the 2 equations
f + d = 60
f -4d = -15
-------------subtraction eliminates f, find d
0 + 5d = 75
5d = 75
d = 75/5
d = 15 yrs is the daughter's age
1.how old are they now?
Find Daniel's age
60 - 15 = 45 yrs
2.find the difference between their ages
45 - 15 = 30 yrs
:
:
Confirm this, 5 yrs ago they were 10 and 40 a ratio of 1:4
RELATED QUESTIONS
A man is 3 times as old as his daughter. 4 years ago, the sum of their ages was 60 years. (answered by stanbon)
The sum of ages of Mr tan and his son david is 61 years. Tbe difference in their ages is... (answered by josgarithmetic)
the sum of ages of Daniel and his friend is 50years.if ten years ago,the age of Daniel... (answered by josgarithmetic)
1) A mother is five times as old as her daughter. If the sum of their ages 6 years ago... (answered by addingup)
A mother is 20 years older then her daughter. A. If the daughter is y years old, how old (answered by ankor@dixie-net.com)
A mother is 20 years older then her daughter. A. If the daughter is y years old, how old (answered by addingup,MathTherapy)
The ratio of the present ages of of Jacob and Nicholas is 2:9. 4 years ago, sum of their... (answered by ankor@dixie-net.com)
THE SUM OF AGES OF HUSBAND AND HIS WIFE IS 4 TIMES THE SUM OF AGES OF THEIR CHILDREN.4... (answered by ankor@dixie-net.com)
Mr Rashid is 4 time as old his son.Four years ago,the sum of their ages was 37 years.... (answered by FrankM)