The sum of a smaller number and a bigger number is 223. When the bigger number is divided by the smaller number, the quotient is 2 with the remainder 7. Find the two numbers.
- Smaller number
- Bigger number
(a)
Bigger number + Smaller number = Sum
Bigger number + Smaller number = 223
Bigger number ÷ Smaller number = Quotient with Remainder
Bigger number ÷ Smaller number = 2 with 7
Smaller number = Divisor
Bigger number = Dividend
Smaller number = 1 u
Bigger number
= Quotient x Divisor + Remainder
= 2 x 1 u + 7
= 2 u + 7
Total of the 2 numbers
= 2 u + 7 + 1 u
= 2 u + 1 u + 7
= 3 u + 7
3 u + 7 = 223
3 u = 223 - 7
3 u = 216
1 u = 216 ÷ 3 = 72
Smaller number
= 1 u
= 72
(b)
Bigger number
= 2 u + 7
= 2 x 72 + 7
= 151
Answer(s): (a) 72; (b) 151