- A30
- B20
- C25
- D40
Step-by-Step Solution
Let larger = . Smaller = . Sum: → → → .
Answer: A) 30
The sum of two numbers is 50 and their difference is 10. Find the larger number.
Class 8Linear Equations in One VariableLinear Equations
Key idea: Translating word problems
Three steps:
1. **Pick a variable** for the unknown.
2. **Translate the words** into operations (sum, difference, product, quotient).
3. **Solve, then state the answer in the original units.**
Word clues: 'is/equals' = '='. 'sum' = +. 'difference' = −. 'product' = ×. 'quotient/per' = ÷. 'twice' = ×2. 'one more than' = +1. 'half of' = .
1. **Pick a variable** for the unknown.
2. **Translate the words** into operations (sum, difference, product, quotient).
3. **Solve, then state the answer in the original units.**
Word clues: 'is/equals' = '='. 'sum' = +. 'difference' = −. 'product' = ×. 'quotient/per' = ÷. 'twice' = ×2. 'one more than' = +1. 'half of' = .
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