Question

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

Answer 1

✬ 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

$\implies{\rm }$ 4 + y = 3y + 2

$\implies{\rm }$ 4 – 2 = 3y – y

$\implies{\rm }$ 2 = 2y

$\implies{\rm }$ 2/2 = y

$\implies{\rm }$ 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

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

Answer 2

Step-by-step explanation:

I think it will be simple to every viewers of the answers