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

Answer 1

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

Answer 2

Thank you

Answer 3

A=12 B=9

Answer 4

3/4x+2/3y=15
--------------------
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
-------------------
3/4*12+2/3y=15
9+2/3y=15
2/3y=15-9
y=6/(2/3)
y=6*3/2
y=9
---------------
x+y=21
12+9=21

Answer 5

X=12 ,y=9

Answer 6

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Answer 7

The answer is 12 and 9