Question

The sum of two consecutive multiples of 7 is 77. Find the numbers.

Answer 1

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Answer 2

Answer :-

The numbers are 35 and 42.

Step-by-step explanation:

To Find :-

• The numbers.

★ Solution:

Given that,

• The sum of two consecutive multiples of 7 is 77.

Assumption:

Let us assume the two consecutive multiples of 7 as (x) and (x + 7),

∴ (x) + (x + 7) = 77

⇒ (x) + (x + 7) = 77

⇒ x + x + 7 = 77

⇒ 2x + 7 = 77

⇒ 2x = 77/7

⇒ 2x = 70

⇒ x = 70/2

⇒ x = 35

The value of x is 35.

Now, The numbers are :-

• (x) = 35
• (x + 7) = (35 + 7) = 42

V E R I F I C A T I O N :-

• (x) + (x + 7) = 77

By putting the values of the numbers in L.H.S :-

⇒ (x) + (x + 7)

⇒ 35 + 42

⇒ 77

Now, L.H.S = R.H.S = 77

Hence Verified!