Q) Solve the following pair of linear equations: ax + by = c bx + ay = 1 + c Ans: Given the equations: a x + b y = c ….. (i)b x + a y = 1 + c ….. (ii) Let’s multiply equation (i) with a and equation (ii) with b and we get: a2 […]
Solve the following pair of linear equations: ax + by = c, bx + ay = 1 + c Read More »
Q) Solve the following pair of linear equations:px + qy = p – qqx – py = p + q Ans:Â Given the equations: Solve the following pair of linear equations:px + qy = p – q …………. (i)qx – py = p + q ………….. (ii) Let’s multiply equation (i) with p and equation
Solve the following pair of linear equations: px + qy = p – q, qx – py = p + q Read More »
Q) Find two consecutive odd positive integers, the sum of whose squares is by using the quadratic formula. Ans: Let’s consider the 1st odd positive integer be XThen the next consecutive odd positive integers will be X + 2 Now it is given, that the sum of the squares of these two numbers is 290∴ X2
Q) The product of Rehan’s age (in years) 5 years ago and his age 7 years from now, is one more than twice his present age. Find his present age. Ans: Let’s consider Rehan’s present age is X. Age 5 years ago = X – 5 Age 7 years from now = X + 7
The product of Rehan’s age (in years) 5 years ago and his age 7 years from now, is Read More »
Q) ABCD is a rectangle if the value of AB= 12 is given, find the values of x and y. Ans: We know, opposite sides of a rectangle are equal, ∴ x + y = 12 —-(1) and, x – y = 8  —-(2) By elimination method, we subtract (2) from (1), Therefore, 2y =
ABCD is a rectangle if the value of AB=12 is given. Find the values of x and y. Read More »
Q) Mrs. Gupta arranged some snacks for her child’s birthday party. After the guest left she had some food left over. She did not want to waste food and so she contacted a local NGO. She gave 60 pieces of pastries,168 pieces of cookies, and 330 chocolate bars to the team. Now the NGO workers want
Mrs. Gupta arranged some snacks for her child’s birthday party. Read More »
Q)Â A number consists of two digits. Where the number is divided by the sum of its digits, the quotient is 7. If 27 is subtracted from the number, the digits interchange their places, find the number Ans:Â Let’s consider X and Y are the digits of the given number. Hence the given number is 10 X
A number consists of two digits. Where the number is divided by the sum of its digits, Read More »
Q) The sum of ages of a father and his son is 45 years. Five years ago, the product of their ages (in years) was 124. Determine their present ages. Ans: Let’s consider the father’s age is X and son’s age is Y. Step 1: It is given that, X + Y = 45 ……
Q) A fraction becomes when 1 is subtracted from the numerator. It becomes when 8 is added to the denominator. Find the fraction. Ans: Let’s consider the fraction is First, when 1 is subtracted from numerator, then: = ∴ 3 (P -1) = Q ∴ 3P – Q = 3 …………… (i) Next, when 8
A fraction becomes 1/3 when 1 is subtracted from the numerator. It becomes 1/4 Read More »
Q) Using graphical method, find whether following system of linear equations x = 0 and y = – 7 is consistent or not. Ans:Â VIDEO SOLUTION STEP BY STEP SOLUTION Step 1: Construction: On a graph paper, plot or draw x = 0 next, draw y = – 7 Step 2: Intersection point: check if