The sum of a smaller number and a bigger number is 268. When the bigger number is divided by the smaller number, the quotient is 6 with the remainder 9. Find the two numbers.
- Smaller number
- Bigger number
(a)
Bigger number + Smaller number = Sum
Bigger number + Smaller number = 268
Bigger number ÷ Smaller number = Quotient with Remainder
Bigger number ÷ Smaller number = 6 with 9
Smaller number = Divisor
Bigger number = Dividend
Smaller number = 1 u
Bigger number
= Quotient x Divisor + Remainder
= 6 x 1 u + 9
= 6 u + 9
Total of the 2 numbers
= 6 u + 9 + 1 u
= 6 u + 1 u + 9
= 7 u + 9
7 u + 9 = 268
7 u = 268 - 9
7 u = 259
1 u = 259 ÷ 7 = 37
Smaller number
= 1 u
= 37
(b)
Bigger number
= 6 u + 9
= 6 x 37 + 9
= 231
Answer(s): (a) 37; (b) 231