The sum of a smaller number and a bigger number is 201. 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 = 201
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 = 201
8 u = 201 - 9
8 u = 192
1 u = 192 ÷ 8 = 24
Smaller number
= 1 u
= 24
(b)
Bigger number
= 7 u + 9
= 7 x 24 + 9
= 177
Answer(s): (a) 24; (b) 177