Question

6. Set up an equation in the following cases:
(i) Irfan says that he has 7 marbles more than five times the marbles Parmit has.
Irfan has 37 marbles. (Take m to be the number of Parmit's marbles.)
(ü) Laxmi's father is 49 years old. He is 4 years older than three times Laxmi's age.
(Take Laxmi's age to be y years.)
(i) The teacher tells the class that the highest marks obtained by a student in her
class is twice the lowest marks plus 7. The highest score is 87. (Take the lowest
score to be l.)
(iv) In an isosceles triangle, the vertex angle is twice either base angle. (Let the base
angle be b in degrees. Remember that the sum of angles of a triangle is 180
degrees).​

Answer 1

Answer:

LET SAY THAT PARMIT HAS “X” NO. OF MARBLES.

Step-by-step explanation:

SO, NOW

IRFAN HAS 5X+7 MARBLES I.E. 37

SO,

= 5X+7 = 37

= 5X = 30

= X = 30÷5 = 6

SO, IRFAN HAS 37 AND PARMIT HAS 6 MARBLES.

2 - LET LAXMI'S AGE BE “ Y ” YEARS

SO NOW,

LAXMI'S FATHER'S AGE IS 3Y+4 YEARS I.E. 49 YEARS.

SO ATQ - ACCORDING TO THE QUESTION

WE CAN SAY THAT

3Y+4 = 49

= 3Y= 45

= Y = 45÷3 = 15

SO LAXMI'S AGE IS 15 YEARS AND HIS FATHER'S AGE IS 49 YEARS.

3- LETS TAKE THE LOWEST MARK AS “ X ”

SO NOW,

HIGHEST MARK IS 2X+7 I.E. 87

SO,

= 2X+7 = 87

= 2X = 80

= X = 80/2 = 40

SO NOW WE CONCLUDE THAT HIGHEST MARK WAS 87 AND LOWEST WAS 40.

4- LET THE BASE ANGLE BE TREATED AS “B”

SO NOW

AS GIVEN THE QUESTION THE TWO EQUAL SIDES WILL BE 2B AS IT IS ISOSCELES TRIANGLE

SO,

= 2B+2B+B= 180° ( AS SUM OF ANGLE SOF TRIANGLE IS ALWAYS EQUAL TO 180° )

= 5B = 180°

=B = 180÷5

=B = 36°

SO WE GET THAT THE BASE ANGLE IS 36°, AND THE TWO EQUAL SIDES ARE 72° EACH.

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Answer 2

Answer:

i) 5m + 7 = 37

ii) 3y + 4 = 49

iii) 2l + 7 = 87

iv)  40° + b + b = 180°