The sum of three consecutive multiples of 7 is 777. Find these multipl

1.	The sum of three consecutive multiples of 7 is 777. Find these multiples.(Three consecutive multiples of 7 are ‘x’, ‘x + 7’, ‘x + 14’)
Answer» Let the three consecutive multiples of 7 be x, x + 7, x + 14 say. According to the sum, The sum of three consecutive multiples of 7 is 777. ⇒ x + (x + 7) + (x + 14)= 777 ⇒ 3x + 21 = 777 ⇒ 3x = 777 – 21 = 756 x = \(\frac{756}3\) = 252 x + 7 = 252 + 7 = 259 x + 14 252 + 14 = 266 ∴ The required three consecutive multiples of 7 are 252, 259, 266

The sum of three consecutive multiples of 7 is 777. Find these multiples.(Three consecutive multiples of 7 are ‘x’, ‘x + 7’, ‘x + 14’)

Answer»

Let the three consecutive multiples of 7 be x, x + 7, x + 14 say.

According to the sum,

The sum of three consecutive multiples of 7 is 777.

⇒ x + (x + 7) + (x + 14)= 777

⇒ 3x + 21 = 777

⇒ 3x = 777 – 21 = 756

x = \(\frac{756}3\) = 252

x + 7 = 252 + 7 = 259

x + 14 252 + 14 = 266

∴ The required three consecutive multiples of 7 are 252, 259, 266