The sum of a smaller number and a bigger number is 237. When the bigger number is divided by the smaller number, the quotient is 5 with the remainder 9. Find the two numbers.
- Smaller number
- Bigger number
(a)
Bigger number + Smaller number = Sum
Bigger number + Smaller number = 237
Bigger number ÷ Smaller number = Quotient with Remainder
Bigger number ÷ Smaller number = 5 with 9
Smaller number = Divisor
Bigger number = Dividend
Smaller number = 1 u
Bigger number
= Quotient x Divisor + Remainder
= 5 x 1 u + 9
= 5 u + 9
Total of the 2 numbers
= 5 u + 9 + 1 u
= 5 u + 1 u + 9
= 6 u + 9
6 u + 9 = 237
6 u = 237 - 9
6 u = 228
1 u = 228 ÷ 6 = 38
Smaller number
= 1 u
= 38
(b)
Bigger number
= 5 u + 9
= 5 x 38 + 9
= 199
Answer(s): (a) 38; (b) 199