- A63
- B45
- C36
- D27
Step-by-Step Solution
Let the tens digit be , so the ones digit is . Swapping: . The number is 36 (and ). (63 is the swapped number.)
Answer: C) 36
A two-digit number is hidden on the blue cards. The sum of its digits is 9. When the digits are swapped, the new number is 27 more than the old one. What is the original 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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