Question

Two numbers are in the ratio 3:4. When 10 is added to each other, the ratio become 5:6. Find the number.

Answer 1

Answer:

Answer:- 5 : 6

Step-by-step explanation:

So, numbers become 3x and 4x. Now, adding 10 to both of them. New numbers are ( 3x + 10 ) and ( 4x + 10 ). Now, it is given that their ratio is 5 : 6.

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Answer 2

Given :

• Two numbers are in the ratio 3:4.
• When 10 is added to each other, the ratio become 5:6

To Find :

• Find the Numbers

Solution :

Let the Number be 3x and 4x

According to Question

⟹ 3x + 10/4x + 10 = 5/6

⟹ 6 (3x + 10) = 5 (4x + 10)

⟹ 18x + 60 = 20x + 50

⟹ 20x - 18x = 60 - 50

⟹ 2x = 10

⟹ x = 5

Hence, The Numbers are

• 3x = 3 × 5 = 15
• 4x = 4 × 15 = 20

Verification :

⟹ 15 + 10/20 + 10 = 5/6

⟹ 25/30 = 5/6

⟹ 5/6 = 5/6

∴ The Numbers are 15 and 20.