Question

Q6) Two numbers are in the ratio 2:3. Their sum is 60. Find the numbers.​

Answer 1

Let the number be x..

A/C:-

2x+3x = 60

=>5x = 60

=>x=60/5

=> x = 12

Now, numbers are 2x = 2×12. =24. ; 3x = 3×12 =36

Answer 2

Question:-

Two numbers are in the ratio 2:3. Their sum is 60. Find the numbers.

Answer:-

• The numbers are 24 and 36

To find:-

• The numbers

Solution:-

• Sum of numbers = 60
• Ratio = 2:3

Let,

• First number = 2x
• Second number = 3x

According to question,

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: \: \: 2x + 3x = 60}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: \: \: 5x = 60}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: \: \: x = \frac{60}{5} }$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: \: \: x = 12}$

• The value of x is 12.

Now,

• First number = 2x = 24
• Second number = 3x = 36

Hence,

The numbers are 24 and 36 respectively.