Question

The sum of two consecutive multiples of 5 is 125. How do you form the linear equation in one variable to find the numbers?​

Answer 1

Step-by-step explanation:

1. x + 3x = 30.
2. 5x + (5x + 5) = 125.
3. 2(2x + x) = 120.
4. 2( x + 10 + x)= 140.
5. x + (x – 3) + (x – 3) = 123.
6. x + 20x/100 = 10,000.
7. 3000 + 100x = 3750 + 75x.
8. 31x + 13x = 88.

Answer 2

${\huge{\underline{\underline{\bf{Question:-}}}}}$

The sum of two consecutive multiples of 5 is 125. How do you form the linear equation in one variable to find the numbers?

$\huge\mathfrak\red{Answer:}$

The two consecutive multiples of 5 are 5x and 5 (x + 1)

As per statement, the sum of two consecutive multiples of 5 is 125.

5x + 5 (x + 1) = 125

5x + 5x + 5 = 125

10x + 5 = 125

10x = 125 - 5

10x = 120

x = 120 / 10

x = 12

This one consecutive multiples of 5 is 5x = 5 × 12 = 60 and the other consecutive multiples of 5 is 5 (x + 1) = 5 (12 + 1) = 5 × 13 = 65

Answer the two consecutive multiples of 5 are 60 and 65.

To check the correctness of answer taking the sum of derived values, which should be 125

60 + 65 = 125

125 = 125

$\huge{\underline{\sf{\pink{Thanks}}}}$