Question

The difference of two numbers is 4.The larger number exceeds three times the smaller number by 2.Find the numbers.
Please solve and explain.

Answer 1

hope it helps!!;!;;:!!;

Answer 2

✬ Smaller Number = 1 ✬

✬ Larger Number = 5 ✬

Step-by-step explanation:

Given:

• The difference of two number is 4.

• The larger number exceeds three times the smaller number by 2.

To Find:

What are the numbers ?

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

➟ Difference = x – y

➟ 4 = x – y

➟ 4 + y = x..........(i)

A/q

The larger number exceeds three times the smaller number by 2.

$\implies{\rm }⟹ x = 3y + 2 \\ </p><p></p><p>\implies{\rm }⟹ 4 + y = 3y + 2 \\ </p><p></p><p>\implies{\rm }⟹ 4 – 2 = 3y – y \\ </p><p></p><p>\implies{\rm }⟹ 2 = 2y \\ </p><p></p><p>\implies{\rm }⟹ 2/2 = y \\ </p><p></p><p>\implies{\rm }⟹ 1 = y$

So the numbers are

• Smaller number is y = 1

• Larger number is x = 4 + 1 = 5

[ Verification ]

Their difference is 4.

5 – 1 = 4

Also,

• Larger number exceeds three times the smaller number by 2.

5 = 3 × 1 + 2 = 5

❣️$\large\bold{\texttt {Verified }}$❣️