The sum of two numbers is 21. 3/4 of one of the numbers added to 2/3 of the other number gives the sum of 15. Find the two numbers
3/4x+2/3y=15
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y=21-x
3/4x+2/3(21-x)=15
3/4x+14-2/3x=15
9/12x-8/12x=15-14
1/12x=1
x=(1/1)/(1/12)
x=1/1*12/1
x=12
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3/4*12+2/3y=15
9+2/3y=15
2/3y=15-9
y=6/(2/3)
y=6*3/2
y=9
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x+y=21
12+9=21
A=12 B=9
Thank you
X=12 ,y=9
The answer is 12 and 9
a = first number
b = second number
The sum of two numbers is 21 means:
a + b = 21
3/4 of one of the numbers added to 2/3 of the other number gives the sum of 15 means:
3 / 4 a + 2 / 3 b = 15
Now you must solve system of two equations:
a + b = 21
3 / 4 a + 2 / 3 b = 15
________________
Try to solve it.
The solution is:
a = 12 , b = 9
Check results:
a + b = 12 + 9 = 21
3 / 4 a + 2 / 3 b = 3 / 4 ∙ 12 + 2 / 3 ∙ 9 = 36 / 4 + 18 / 3 = 9 + 6 = 15
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