Question

Two numbers are in ratio 5:8 and their sum is 39.The numbers are ?

Answer 1

Answer:

Let the nos. be 5x & 8x

then atq, 5x + 8x = 39

13x = 39

x = 39 ÷ 13 = 3

therefore the nos. are 5 × 3 = 15 &

8 × 3 = 24

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Answer 2

Answer :-

The numbers are 15 and 24 respectively.

Explanation :-

Given :

• Ratio of two numbers - 5 : 8
• Sum of the numbers - 39

To find :

The numbers which are in the ratio 5 : 8

Solution :

Let the first number be 5x

and the second number be 8x

According to question,

$= > 5x + 8x = 39$

$= > 13x = 39$

$= > x = \dfrac{39}{13}$

$= > x = 3$

Hence, the value of x is 3

Now,

The First number => 5 × 3 = 15

The Second number => 8 × 3 = 24

Verification :-

Putting the value of x

$= > 5 \times 3 + 8 \times 3 = 39$

$= > 15 + 24 = 39$

$= > 39 = 39$

Hence, Proved.