The sum of a smaller number and a bigger number is 295. When the bigger number is divided by the smaller number, the quotient is 5 with the remainder 7. Find the two numbers.
- Smaller number
- Bigger number
(a)
Bigger number + Smaller number = Sum
Bigger number + Smaller number = 295
Bigger number ÷ Smaller number = Quotient with Remainder
Bigger number ÷ Smaller number = 5 with 7
Smaller number = Divisor
Bigger number = Dividend
Smaller number = 1 u
Bigger number
= Quotient x Divisor + Remainder
= 5 x 1 u + 7
= 5 u + 7
Total of the 2 numbers
= 5 u + 7 + 1 u
= 5 u + 1 u + 7
= 6 u + 7
6 u + 7 = 295
6 u = 295 - 7
6 u = 288
1 u = 288 ÷ 6 = 48
Smaller number
= 1 u
= 48
(b)
Bigger number
= 5 u + 7
= 5 x 48 + 7
= 247
Answer(s): (a) 48; (b) 247
