SOLUTION: 1. The sum of two numbers is 24. One number is one third of the other. Find the number.
2. The length of a rectangle is 6m longer than its breadth. If the length and breadth are
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Question 157674: 1. The sum of two numbers is 24. One number is one third of the other. Find the number.
2. The length of a rectangle is 6m longer than its breadth. If the length and breadth are of the ratio 6:5, find the number.
3. A father is older than his son by 32 years. 6 years ago the father was 17 times as lod as his son. How old are they now.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Call the numbers and
(1)
(2)
--------------------
From (1)
substituting in (2)
Multiply both sides by
The numbers are 6 and 18
--------------
--------------
Length =
width =
(1)
Multiply both sides by
Substitute this in
(2)
Multiply both sides by
and, from (2)
The length is 36 and the width is 30
-------------
---------------
Father's age now is
Father's age years ago is
Son's age now is
Son's age years ago is
It is given that
(1)
and
Using (1),
and from (1)
The Father is 40 and the Son is 8
check:
OK
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