(a) Find x for the following equation: 4x + 10 = 20

(b) Write an equation for the following case:
Irfan says that he has 7 marbles more than five times the marbles Parmeet has. Irfan has 37 marbles. (Take 'm' to be the number of Parmeet’s marbles.) [2 MARKS]

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Solution

Solution: 1 Mark each

(a) $4 x + 10 = 20$

Dividing all the terms by 2, we get

$2 x + 5 = 10$

$\Rightarrow 2 x = 5$

$\Rightarrow x = \frac{5}{2}$

$\Rightarrow x = 2.5$

(b) Let the number of marbles Parmeet has = $m$

No. of marble Irfan has in terms of $m$ = $5 m + 7$

Given that Irfan has 37 marbles, the equation so formed will be

$\Rightarrow 5 m + 7 = 37$

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Similar questions

Question 6(i)
Set up an equation in the following case:
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.)

Q. Irfan says that he has

7

marbles more then five times the marbles Parmit has, Irfan has

37

marbles. How many marbles does Parmit have?

Q. Question 3(i)
Solve the following:
Irfan says that he has 7 marbles more than five times the marbles Parmit has. Irfan has 37 marbles. How many marbles does Parmit have?

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.)

Solve the following:

(i) Irfan says that he has 7 marbles more than five times the marbles Parmit has. Irfan has 37 marbles. How many marbles does Parmit have?

(ii) Laxmi’s father is 49 year old. He is 4 years older than three times Laxmi’s age. What is Laxmi’s age?

(iii) People of Sundargram planted trees in the village garden. Some of the trees were fruit trees. The number of non-fruit trees was two more than three times the number of fruit trees. What was the number of fruit trees planted if the number of non-fruit trees planted was 77?

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(a) Find x for the following equation: 4x + 10 = 20 (b) Write an equation for the following case: Irfan says that he has 7 marbles more than five times the marbles Parmeet has. Irfan has 37 marbles. (Take 'm' to be the number of Parmeet’s marbles.) [2 MARKS]

Solution: 1 Mark each (a) 4x+10=20 Dividing all the terms by 2, we get 2x+5=10 ⇒2x=5 ⇒x=52 ⇒x=2.5 (b) Let the number of marbles Parmeet has = m No. of marble Irfan has in terms of m = 5m+7 Given that Irfan has 37 marbles, the equation so formed will be ⇒5m+7=37

(a) Find x for the following equation: 4x + 10 = 20

(b) Write an equation for the following case:
Irfan says that he has 7 marbles more than five times the marbles Parmeet has. Irfan has 37 marbles. (Take 'm' to be the number of Parmeet’s marbles.) [2 MARKS]