Question

The sum of two numbers is 276. If one number exceeds the other by 8 find the numbers
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Answer 1

Answer:

Sum= 276

Let the smaller number be x.

x+x+8= 276

2x+8= 276

2x= 276-8= 268

x= 268÷2= 134

Therefore, the smaller number is 134.

So, the larger number is 134+8= 142

Answer 2

Answer :-

2 numbers are 134 and 142

Step-by-step explanation :-

Let the 2 numbers be x and y.

★ According to the Question,

• x + y = 276      ----- [Equation 1]
• y = 8 + x          ----- [Equation 2]

Substitute the algebraic value of y from Equation 2 in Equation 1

   x + y = 276

⇒ x + 8 + x = 276

⇒ 2x + 8 = 276

⇒ 2x = 276 - 8

⇒ 2x = 268

⇒ x = 268 ÷ 2

⇒ x = 134

So, one number is 134. Earlier we had considered the other number y to be (8 + x)

So,

y = (8 + x)

⇒ y = 8 + 134

⇒ y = 142

VERIFICATION:

When the 2 obtained numbers are added you can see that they add up to 276 which was given in the question.