The sum of a smaller number and a bigger number is 209. When the bigger number is divided by the smaller number, the quotient is 7 with the remainder 9. Find the two numbers.
- Smaller number
- Bigger number
(a)
Bigger number + Smaller number = Sum
Bigger number + Smaller number = 209
Bigger number ÷ Smaller number = Quotient with Remainder
Bigger number ÷ Smaller number = 7 with 9
Smaller number = Divisor
Bigger number = Dividend
Smaller number = 1 u
Bigger number
= Quotient x Divisor + Remainder
= 7 x 1 u + 9
= 7 u + 9
Total of the 2 numbers
= 7 u + 9 + 1 u
= 7 u + 1 u + 9
= 8 u + 9
8 u + 9 = 209
8 u = 209 - 9
8 u = 200
1 u = 200 ÷ 8 = 25
Smaller number
= 1 u
= 25
(b)
Bigger number
= 7 u + 9
= 7 x 25 + 9
= 184
Answer(s): (a) 25; (b) 184