The age of a mother is three times the age of her son. If the difference between their
1 answer:
Answer:
![Mother = 30\ years](https://tex.z-dn.net/?f=Mother%20%3D%2030%5C%20years)
![Son = 10\ years](https://tex.z-dn.net/?f=Son%20%3D%2010%5C%20years)
Step-by-step explanation:
Given
![M = Mother](https://tex.z-dn.net/?f=M%20%3D%20Mother)
![S = Son](https://tex.z-dn.net/?f=S%20%3D%20Son)
From the first statement:
![M = 3S](https://tex.z-dn.net/?f=M%20%3D%203S)
From the second:
![M - S = 20](https://tex.z-dn.net/?f=M%20-%20S%20%3D%2020)
Required
Find M and S
We have:
and
![M - S = 20](https://tex.z-dn.net/?f=M%20-%20S%20%3D%2020)
Substitute
in ![M - S = 20](https://tex.z-dn.net/?f=M%20-%20S%20%3D%2020)
![3S -S =20](https://tex.z-dn.net/?f=3S%20-S%20%3D20)
![2S = 20](https://tex.z-dn.net/?f=2S%20%3D%2020)
Divide both sides by 2
![S = 10](https://tex.z-dn.net/?f=S%20%3D%2010)
Substitute
in ![M = 3S](https://tex.z-dn.net/?f=M%20%3D%203S)
![M = 3 * 10](https://tex.z-dn.net/?f=M%20%3D%203%20%2A%2010)
![M = 3 0](https://tex.z-dn.net/?f=M%20%3D%203%200)
Hence;
![Mother = 30\ years](https://tex.z-dn.net/?f=Mother%20%3D%2030%5C%20years)
![Son = 10\ years](https://tex.z-dn.net/?f=Son%20%3D%2010%5C%20years)
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