Question

If A:B = 2:5 , then (10A + 3B) : (5A + 2B) is equal to :?​

Answer 1

Solution:-

⠀⠀⠀⠀$\sf{:\implies A:B=2:5}$

⠀⠀⠀⠀$\sf{:\implies \dfrac{A}{B}=\dfrac{2}{5}}$

⠀⠀⠀⠀$\sf{:\implies Let,\:A=2k\:and\:B=5k}$

Now,

⠀⠀⠀⠀$\sf{:\implies (10A + 3B):(5A + 2B)}$

⠀⠀⠀⠀$\sf{:\implies \dfrac{10A+3B}{5A+2B}}$

⠀⠀⠀⠀$\sf{:\implies \dfrac{10×2k+3×5k}{5×2k+2×5k}}$

⠀⠀⠀⠀$\sf{:\implies \dfrac{20k+15k}{10k+10k}}$

⠀⠀⠀⠀$\sf{:\implies \dfrac{35k}{20k}}$

⠀⠀⠀⠀$\sf{:\implies \dfrac{35}{20}}$

⠀⠀⠀⠀$\sf{:\implies \dfrac{7}{4}}$

.°. (10A + 3B) : (5A + 2B) = 7:4

Answer 2

Step-by-step explanation:

Answer in the figure

Hope this will help you