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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.)

(ii) 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.) (iii) 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.)?

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(i) Let Parmit has m marbles. 5 × Number of marbles Parmit has + 7 = Number of marbles Irfan has 5 × m + 7 = 37 5m + 7 = 37 (ii) Let Laxmi be y years old. 3 × Laxmi’s age + 4 = Laxmi’s father’s age 3 × y + 4 = 49 3y + 4 = 49 (iii) Let the lowest marks be l. 2...
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(i) Let Parmit has m marbles.

5 × Number of marbles Parmit has + 7 = Number of marbles Irfan has

5 × m + 7 = 37

5m + 7 = 37

(ii) Let Laxmi be y years old.

3 × Laxmi’s age + 4 = Laxmi’s father’s age

3 × y + 4 = 49

3y + 4 = 49

(iii) Let the lowest marks be l.

2 × Lowest marks + 7 = Highest marks

2 × l + 7 = 87

l + 7 = 87

(iv) An isosceles triangle has two of its angles of equal measure.

Let base angle be b.

Vertex angle = 2 × Base angle = 2b

Sum of all interior angles of a Δ = 180°

b + b + 2b = 180°

4b = 180°

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