The sum of a smaller number and a bigger number is 279. When the bigger number is divided by the smaller number, the quotient is 2 with the remainder 6. Find the two numbers.
- Smaller number
- Bigger number
(a)
Bigger number + Smaller number = Sum
Bigger number + Smaller number = 279
Bigger number ÷ Smaller number = Quotient with Remainder
Bigger number ÷ Smaller number = 2 with 6
Smaller number = Divisor
Bigger number = Dividend
Smaller number = 1 u
Bigger number
= Quotient x Divisor + Remainder
= 2 x 1 u + 6
= 2 u + 6
Total of the 2 numbers
= 2 u + 6 + 1 u
= 2 u + 1 u + 6
= 3 u + 6
3 u + 6 = 279
3 u = 279 - 6
3 u = 273
1 u = 273 ÷ 3 = 91
Smaller number
= 1 u
= 91
(b)
Bigger number
= 2 u + 6
= 2 x 91 + 6
= 188
Answer(s): (a) 91; (b) 188