Two numbers are such that the ratio between them is 4 : 7. If each is increase by 4, the ratio become 3 : 5. The larger number is = ?

Answer:- 1

Explanation:-

Solution:

A : B
4x : 7x
Now 4 is added to each number

\begin{aligned} \frac{4 x + 4}{7 x + 4} = \frac{3}{5} \\ \Rightarrow 20 x + 20 = 21 x + 12 \\ \Rightarrow x = 8 \end{aligned}

$\eqalign{ & \frac{{4x + 4}}{{7x + 4}} = \frac{3}{5} \cr & \Rightarrow 20x + 20 = 21x + 12 \cr & \Rightarrow x = 8 \cr}$ ∴ Smaller number is 4 × 8 = 32
Larger number is 7 × 8 = 56

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∴ Smaller number is 4 × 8 = 32
Larger number is 7 × 8 = 56 ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

A : B
4x : 7x
Now 4 is added to each number

\begin{aligned} \frac{4 x + 4}{7 x + 4} = \frac{3}{5} \\ \Rightarrow 20 x + 20 = 21 x + 12 \\ \Rightarrow x = 8 \end{aligned}

$\eqalign{ & \frac{{4x + 4}}{{7x + 4}} = \frac{3}{5} \cr & \Rightarrow 20x + 20 = 21x + 12 \cr & \Rightarrow x = 8 \cr}$ ∴ Smaller number is 4 × 8 = 32
Larger number is 7 × 8 = 56 ", "dateCreated": "7/24/2019 10:09:12 AM" } }