The sum of a smaller number and a bigger number is 242. When the bigger number is divided by the smaller number, the quotient is 4 with the remainder 7. Find the two numbers.
- Smaller number
- Bigger number
(a)
Bigger number + Smaller number = Sum
Bigger number + Smaller number = 242
Bigger number ÷ Smaller number = Quotient with Remainder
Bigger number ÷ Smaller number = 4 with 7
Smaller number = Divisor
Bigger number = Dividend
Smaller number = 1 u
Bigger number
= Quotient x Divisor + Remainder
= 4 x 1 u + 7
= 4 u + 7
Total of the 2 numbers
= 4 u + 7 + 1 u
= 4 u + 1 u + 7
= 5 u + 7
5 u + 7 = 242
5 u = 242 - 7
5 u = 235
1 u = 235 ÷ 5 = 47
Smaller number
= 1 u
= 47
(b)
Bigger number
= 4 u + 7
= 4 x 47 + 7
= 195
Answer(s): (a) 47; (b) 195