Question

One number is 4 less than three times another.if there sum is increased by five ,the result is 25 .find the number

Answer 1

✬ Number = 6 & 14 ✬

Step-by-step explanation:

Given:

• One number is 4 less than 3 times another.
• If their sum is increased by 5 the result is 25.

To Find:

• What is the number ?

Solution: Let the another number be x.

➟ 3 times this number will be = 3x

Now first number will be

➟ First number = (3x – 4)

• Sum of these number = x + (3x – 4)

A/q

• If their sum is increased by 5 the result is 25.

$\implies{\rm }$ x + (3x – 4) + 5 = 25

$\implies{\rm }$ x + 3x – 4 + 5 = 25

$\implies{\rm }$ x + 3x + 1 = 25

$\implies{\rm }$ 4x = 25 – 1

$\implies{\rm }$ 4x = 24

$\implies{\rm }$ x = 24/4

$\implies{\rm }$ x = 6

Hence, the second number is 6 and first number is 3(6) – 4 = 14

Answer 2

Answer:

Step-by-step explanation:

Let the numbers be x and y.

So,equation 1 -----------> 3y-x=4

And equation 2---------->y+x+5=25=>y+x=25-5=20

 On adding equation 1 and 2,we get: 4y=24=>y=6.

Substituting y=6 in equation 2,we get:6+x=20=>x=20-6=14

So,answer is:-     x=14 and y=6