Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

3. Form the pair of linear equations for the following problems and find their solution by substitution method. (i) The difference between two numbers is 26 and one number is three times the other. Find them.

3. Form the pair of linear equations for the following problems and find their solution by substitution method.

(i) The difference between two numbers is 26 and one number is three times the other. Find them.

Grade:12th pass

1 Answers

Pawan Prajapati
askIITians Faculty 8740 Points
4 months ago
Solution: Let the two numbers be x and y respectively, such that y > x. According to the question, y = 3x ……………… (1) y – x = 26 …………..(2) Substituting the value of (1) into (2), we get 3x – x = 26 x = 13 ……………. (3) Substituting (3) in (1), we get y = 39 Hence, the numbers are 13 and 39. (ii) The larger of two supplementary angles exceeds the smaller by 18 degrees. Find them. Solution: Let the larger angle by xo and smaller angle be yo. We know that the sum of two supplementary pair of angles is always 180o. According to the question, x + y = 180o……………. (1) x – y = 18o ……………..(2) From (1), we get x = 180o – y …………. (3) Substituting (3) in (2), we get 180o – y – y =18o 162o = 2y y = 81o ………….. (4) Using the value of y in (3), we get x = 180o – 81o = 99o

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free