The sum of a smaller number and a bigger number is 245. When the bigger number is divided by the smaller number, the quotient is 2 with the remainder 8. Find the two numbers.
- Smaller number
- Bigger number
(a)
Bigger number + Smaller number = Sum
Bigger number + Smaller number = 245
Bigger number ÷ Smaller number = Quotient with Remainder
Bigger number ÷ Smaller number = 2 with 8
Smaller number = Divisor
Bigger number = Dividend
Smaller number = 1 u
Bigger number
= Quotient x Divisor + Remainder
= 2 x 1 u + 8
= 2 u + 8
Total of the 2 numbers
= 2 u + 8 + 1 u
= 2 u + 1 u + 8
= 3 u + 8
3 u + 8 = 245
3 u = 245 - 8
3 u = 237
1 u = 237 ÷ 3 = 79
Smaller number
= 1 u
= 79
(b)
Bigger number
= 2 u + 8
= 2 x 79 + 8
= 166
Answer(s): (a) 79; (b) 166