the difference of two positive numbers Is 69.The quotient obtained on dividing one by the other is 4.Find the number.
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Answered by
178
Let them be x and y respectively
so given
![x - y = 69 \\ x - y = 69 \\](https://tex.z-dn.net/?f=x+-+y+%3D+69+%5C%5C+)
and
![\frac{x}{y} = 4 \\ so \: x = 4y(cross \: multiplication) \frac{x}{y} = 4 \\ so \: x = 4y(cross \: multiplication)](https://tex.z-dn.net/?f=+%5Cfrac%7Bx%7D%7By%7D++%3D+4+%5C%5C+so+%5C%3A+x+%3D+4y%28cross+%5C%3A+multiplication%29)
so we can write
![x - y = 69 x - y = 69](https://tex.z-dn.net/?f=x+-+y+%3D+69)
as
![4y - y = 69 \\ 3y = 69 \\ y = 69 \div 3 \\ y = 23 4y - y = 69 \\ 3y = 69 \\ y = 69 \div 3 \\ y = 23](https://tex.z-dn.net/?f=4y+-+y+%3D+69+%5C%5C+3y+%3D+69+%5C%5C+y+%3D+69+%5Cdiv+3+%5C%5C+y+%3D+23)
now y is 23
so putting in any equation will give the value of x
so
![x - y = 69 \\ = > x - 23 = 69 \\ x = 69 + 23 \\ x = 92 x - y = 69 \\ = > x - 23 = 69 \\ x = 69 + 23 \\ x = 92](https://tex.z-dn.net/?f=x+-+y+%3D+69+%5C%5C++%3D++%26gt%3B+x+-+23+%3D+69+%5C%5C+x+%3D+69+%2B+23+%5C%5C+x+%3D+92)
x is 92 and y is 23
Hope it helps
so given
and
so we can write
as
now y is 23
so putting in any equation will give the value of x
so
x is 92 and y is 23
Hope it helps
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33
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