Question 12 of 19beginner🔧 ApplyNumerical3 marks

The sum of two numbers is 76. One number is three times the other number. What are the numbers?

Correct Answer

Step 1: Let smaller number = xx, larger number = 3x3x Step 2: Sum equation: x+3x=76x + 3x = 76 Step 3: Simplify: 4x=764x = 76 Step 4: Divide by 4: x=19x = 19 Step 5: Larger number = 3×19=573 \times 19 = 57

Answer: The two numbers are 19 and 57.

Exercise: Figure it Out (Section 3) | Q: 7 | (Page Page 23)
For More Understanding

Explanation

Let the smaller number be xx. Then the larger number is 3x3x. Their sum is x+3x=76x + 3x = 76, giving 4x=764x = 76, so x=19x = 19. The larger number is 3×19=573 \times 19 = 57.

Solution Steps

  1. Step 1: Let smaller number = xx, larger number = 3x3x

  2. Step 2: Sum equation: x+3x=76x + 3x = 76

  3. Step 3: Simplify: 4x=764x = 76

  4. Step 4: Divide by 4: x=19x = 19

  5. Step 5: Larger number = 3×19=573 \times 19 = 57

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