Question

Two numbers are in the ratio 5:8 and their difference is 12.Find the numbers.​

Answer 1

Step-by-step explanation:

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Answer 2

Question :

Two numbers are in the ratio 5:8 and their difference is 12.Find the numbers.

Answer :

$\sf\pink {Given :}$

• Ratio of two numbers is 5:8 .

• Difference of that two numbers is 12 .

$\sf\pink{To\:find :}$

• Find the numbers ?

Explanation :

• Let the numbers be 5x and 8x respectively.

By the given condition,

8x - 5x = 12

$\\ \longrightarrow\sf { 3x = 12}$

$\\ \longrightarrow\sf { x = \dfrac {12}{3}}$

$\\ \longrightarrow\sf { x = 4}$

• One number is 5x

$\\ \longrightarrow\sf { 5\times 4}$

$\\ \longrightarrow\sf {20}$

Therefore one number is 20 .

• other number is 8x

$\\ \longrightarrow\sf { 8\times 4}$

$\\ \longrightarrow\sf {32}$

Therefore the other number is 32 .

• Verification

difference of numbers is 12

32 - 20 = 12

12 = 12

hence verified

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