Question

Q1.The ratio of two number are 5:6. When 5 subtracted from both ratio become 4:5. Find the numbers

Answer 1

Explanation:

✬ Numbers = 25 & 30 ✬

Step-by-step explanation:

Given:

Ratio of two numbers is 5:6.

After subtracting 5 from both ratio becomes 4:5.

To Find:

Find the two numbers ?

Solution: Let the two numbers be x and y respectively. Therefore,

➼ 1st number/2nd number = 5/6

➼ x/y = 5/6

➼ 6x = 5y

➼ x = 5y/6ㅤㅤㅤㅤㅤ(eqⁿ i )

A/q , subtracting 5 from both numbers.

1st number = (x – 5)

2nd number = (y – 5)

New ratio = 4:5

⟹ (x – 5)/(y – 5) = 4/5

⟹ 5(x – 5) = 4(y – 5)

⟹ 5x – 25 = 4y – 20

⟹ 5(5y/6) – 4y= – 20 + 25

⟹ 25y/6 – 4y = 5

⟹ 25y – 24y/6 = 5

⟹ y = 30

So one number is 30. Now put the value of y in eqⁿ i.

➬ x = 5 × 30/6

➬ x = 5 × 5

➬ x = 25

Hence, second number is 25.