Two numbers P and Q are in the respective ratio 7: 9 and

Solution

ATQ, Let P and Q be the two numbers, and the ratio of P to Q is given as 7:9. Their sum is given as 80. The algebraic expression for their sum would be: P + Q = 80 Since their ratio is 7:9, we can say: P = 7x Q = 9x where x is a common multiplier for P and Q. Now, we can substitute P and Q in the sum: 7x + 9x = 80 Combining like terms, we get: 16x = 80 To find the value of x: x = 80 / 16 x = 5 If x is 5, then we can find P and Q: P = 7 * 5 = 35 Q = 9 * 5 = 45 Therefore, P is equal to 35.