Question

One number is 10 more than another the sum twice the smaller plus three times the larger,is 55.
what are their two numbers

Answer 1

Answer:

one number be x

second number will be x+10

given

2x+3(x+10)=55

2x+3x+30=55

5x=25

x=5

so smaller number is 5

and larger number is 15

Answer 2

The One number = 5 ( smaller)

The second number = 15 (larger)

Step-by-step explanation:

Let,

The One number = x

The second number = x + 10

The sum of twice the smaller number plus three times the larger number is 55

So,

⇒ 2x + 3(x + 10) = 55

⇒ 2x + 3x + 30 = 55

⇒ 5x + 30 = 55

⇒ 5x = 55 - 30

⇒ 5x = 25

⇒ x = 25 / 5

⇒ x = 5

The One number = 5 ( smaller)

__________________________

The second number = x + 10

⇒ x + 10

⇒ 5 + 10

⇒ 15

The second number = 15 (larger)

Therefore,

The One number = 5 ( smaller)

The second number = 15 (larger)

★ Verification :

⇒ 2(5) + 3 (15) = 55

⇒ 10 + 45 = 55