The sum of a smaller number and a bigger number is 287. When the bigger number is divided by the smaller number, the quotient is 6 with the remainder 7. Find the two numbers.
- Smaller number
- Bigger number
(a)
Bigger number + Smaller number = Sum
Bigger number + Smaller number = 287
Bigger number ÷ Smaller number = Quotient with Remainder
Bigger number ÷ Smaller number = 6 with 7
Smaller number = Divisor
Bigger number = Dividend
Smaller number = 1 u
Bigger number
= Quotient x Divisor + Remainder
= 6 x 1 u + 7
= 6 u + 7
Total of the 2 numbers
= 6 u + 7 + 1 u
= 6 u + 1 u + 7
= 7 u + 7
7 u + 7 = 287
7 u = 287 - 7
7 u = 280
1 u = 280 ÷ 7 = 40
Smaller number
= 1 u
= 40
(b)
Bigger number
= 6 u + 7
= 6 x 40 + 7
= 247
Answer(s): (a) 40; (b) 247