Question

Q1.the difference between two numbers is 54 four times the smaller number is less than the greater number by 3.find the number​.

Answer 1

Explanation:

✬ Smaller Number = 17 ✬

✬ Larger Number = 71 ✬

Step-by-step explanation:

Given:

Difference between two numbers is 54.

Four times the smaller number is less than the greater number by 3.

To Find:

What are the numbers ?

Solution: Let the smaller number be x and greater number be y. Therefore,

➟ y – x = 54

➟ y = 54 + x ㅤㅤㅤㅤㅤ(eqⁿ i )

Now , A/q

Four times the smaller number is less than the greater number by 3.

4x = y – 3

⟹ 4x = y – 3

⟹ 4x = y – 3⟹ 4x = 54 + x – 3

⟹ 4x = y – 3⟹ 4x = 54 + x – 3⟹ 4x – x = 51

⟹ 4x = y – 3⟹ 4x = 54 + x – 3⟹ 4x – x = 51⟹ 3x = 51

⟹ 4x = y – 3⟹ 4x = 54 + x – 3⟹ 4x – x = 51⟹ 3x = 51⟹ x = 51/3

⟹ 4x = y – 3⟹ 4x = 54 + x – 3⟹ 4x – x = 51⟹ 3x = 51⟹ x = 51/3⟹ x = 17

So , the smaller number is 17.

➮ Larger number = 54 + 17

➮ y = 71

Hence, both numbers are 17 & 71.