Question

In o
7. The dyes Or
8:13. Find their present ages.
8. Two numbers are in the ratio 7: 11. If 7 is added to each of the numbers, the ratio becomes
2:3. Find the numbers.
umbers is 810 find the numbers.
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Answer 1

Given :-

Two numbers are in the ratio 7: 11. If 7 is added to each of the numbers, the ratio becomes

2:3.

To find :-

• Numbers

Solution :-

★ Let the number be 7x and 11x

According to the question

‡ 7 is added to each of the numbers, the ratio becomes 2:3.

→ 7x + 7/11x + 7 = 2/3

→ 3(7x + 7) = 2(11x + 7)

→ 21x + 21 = 22x = 14

→ 21 - 14 = 22x - 21x

→ x = 7

Hence,

• Required numbers
• 7x = 7*7 = 49
• 11x = 11*7 = 77

Answer 2

$\huge{\mathcal{\purple{A}\green{N}\pink{S}\blue{W}\purple{E}\green{R}\pink{!}}}$

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Given:-

• The ratio of two numbers is 7:11
• If we add 7 to each number,the ratio will be 2:3

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

To find:-

• the two numbers

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

Solution:-

Let,the numbers be 7x and 11x

According to the Q,

$\frac{7x + 7}{11x + 7} = \frac{2}{3}$

$= > 21x + 21 = 22x + 14 \: ({by \: cross \: multipliction})$

$= > ( - x) = ( - 7)$

$= > x = 7$

$•°•the\:numbers\:will\:be\:7×7=49$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: 11×7=77$

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$\huge\green{Thanks}$