Two numbers are in a ratio 2:3 and their sum is 35.find the numbers
2 answers:
Answer:
![\boxed{ \boxed{ \huge{ \boxed{ \sf{ \: 14 \: and \: 21}}}}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Cboxed%7B%20%5Chuge%7B%20%5Cboxed%7B%20%5Csf%7B%20%5C%3A%2014%20%5C%3A%20and%20%5C%3A%2021%7D%7D%7D%7D%7D)
Step-by-step explanation:
Let the numbers be 2x and 3x
Let's create an equation
![\sf{2x + 3x = 35}](https://tex.z-dn.net/?f=%20%5Csf%7B2x%20%2B%203x%20%3D%2035%7D)
Solve for x.
Collect like terms
![\dashrightarrow{ \sf{5x = 35}}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%7B%20%5Csf%7B5x%20%3D%2035%7D%7D)
Divide both side by 5
![\dashrightarrow{ \sf{ \frac{5x}{5} = \frac{35}{5} }}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%7B%20%5Csf%7B%20%5Cfrac%7B5x%7D%7B5%7D%20%20%3D%20%20%5Cfrac%7B35%7D%7B5%7D%20%7D%7D)
Calculate
![\dashrightarrow{ \sf{x = 7}}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%7B%20%5Csf%7Bx%20%3D%207%7D%7D)
The value of x is 7.
<u>Now</u><u>,</u><u> </u><u>replacing</u><u> </u><u>the</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>x</u><u> </u><u>in</u><u> </u><u>order</u><u> </u><u>to</u><u> </u><u>find </u><u>the</u><u> </u><u>two</u><u> </u><u>numbers </u><u>:</u>
![\dashrightarrow{ \sf{2x = 2 \times 7 = 14}}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%7B%20%5Csf%7B2x%20%3D%202%20%5Ctimes%207%20%3D%2014%7D%7D)
![\dashrightarrow{ \sf{3x = 3 \times 7 = 21}}](https://tex.z-dn.net/?f=%20%5Cdashrightarrow%7B%20%5Csf%7B3x%20%3D%203%20%5Ctimes%207%20%3D%2021%7D%7D)
The numbers are : 14 and 21
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Answer:
14 and 21 is the answer
Step-by-step explanation:
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Answer:
Factor the numerator and denominator and cancel the common facotors which would give you 0.07843137
72 = 6.28× r^2 ;
r^2 = 72 ÷ 6.28 ;
r^2 = 11.46 ;
r =
![\sqrt{11.46}](https://tex.z-dn.net/?f=%20%5Csqrt%7B11.46%7D%20)
= 3.38 ;
Total deposit = 645.30 + 645.30 = $1290.60
Total withdrawals= 158.25 +168.36+157.42+148.46 = $632.49
Balance = 398.26 + 1290.60 - 632.49 = $1056.37
Answer:
2,7
Step-by-step explanation:
1+1+1+1+1 ...............