That two numbers are in ratio 2:3 if 9 is added to each they will be in ratio 3:4 find the numbers ?
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Given : Two numbers in the ratio 2 : 3 If 9 is added to each, they will be in the ratio 3:4 .
Need To Find : The numbers .
⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀
❍ Let's consider the two number be 2x and 3x .
Given that,
⠀⠀⠀⠀⠀⠀⠀⠀If 9 is added to each, they will be in the ratio 3:4 .
Then ,
⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀Now Solving the Formed Equation for the value of x :
⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀
By Cross Multiplication :
⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀
Therefore,
First Number = 2x = 2 × 9 = 18 .
Second Number = 3x = 3 × 9 = 27 .
Therefore,
⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀
As , We have ,
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Here :
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⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀
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