The sum of a smaller number and a bigger number is 277. When the bigger number is divided by the smaller number, the quotient is 3 with the remainder 9. Find the two numbers.
- Smaller number
- Bigger number
(a)
Bigger number + Smaller number = Sum
Bigger number + Smaller number = 277
Bigger number ÷ Smaller number = Quotient with Remainder
Bigger number ÷ Smaller number = 3 with 9
Smaller number = Divisor
Bigger number = Dividend
Smaller number = 1 u
Bigger number
= Quotient x Divisor + Remainder
= 3 x 1 u + 9
= 3 u + 9
Total of the 2 numbers
= 3 u + 9 + 1 u
= 3 u + 1 u + 9
= 4 u + 9
4 u + 9 = 277
4 u = 277 - 9
4 u = 268
1 u = 268 ÷ 4 = 67
Smaller number
= 1 u
= 67
(b)
Bigger number
= 3 u + 9
= 3 x 67 + 9
= 210
Answer(s): (a) 67; (b) 210